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Finding the Third Proportional to 25,049.25 and 36,824.63

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Solution

The third proportional to 25,049.25 and 36,824.63 is: 54,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.25 : 36,824.63 = 36,824.63 : x
  2. Step 2: Convert to fraction form
    25,049.25/36,824.63 = 36,824.63/x
  3. Step 3: Cross multiply
    25,049.25x = 36,824.63 × 36,824.63
  4. Step 4: Simplify right side
    25,049.25x = 1,356,053,006.39
  5. Step 5: Solve for x
    x = 1,356,053,006.39/25,049.25
  6. Step 6: Final answer
    x = 54,135.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.