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Finding the Third Proportional to 24,948 and 39,497.63

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Solution

The third proportional to 24,948 and 39,497.63 is: 62,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 39,497.63 = 39,497.63 : x
  2. Step 2: Convert to fraction form
    24,948/39,497.63 = 39,497.63/x
  3. Step 3: Cross multiply
    24,948x = 39,497.63 × 39,497.63
  4. Step 4: Simplify right side
    24,948x = 1,560,062,380.64
  5. Step 5: Solve for x
    x = 1,560,062,380.64/24,948
  6. Step 6: Final answer
    x = 62,532.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.