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Finding the Third Proportional to 25,294.50 and 37,121.63

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Solution

The third proportional to 25,294.50 and 37,121.63 is: 54,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.50 : 37,121.63 = 37,121.63 : x
  2. Step 2: Convert to fraction form
    25,294.50/37,121.63 = 37,121.63/x
  3. Step 3: Cross multiply
    25,294.50x = 37,121.63 × 37,121.63
  4. Step 4: Simplify right side
    25,294.50x = 1,378,015,042.64
  5. Step 5: Solve for x
    x = 1,378,015,042.64/25,294.50
  6. Step 6: Final answer
    x = 54,478.84

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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.