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Finding the Third Proportional to 24,973.31 and 37,972.13

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Solution

The third proportional to 24,973.31 and 37,972.13 is: 57,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.31 : 37,972.13 = 37,972.13 : x
  2. Step 2: Convert to fraction form
    24,973.31/37,972.13 = 37,972.13/x
  3. Step 3: Cross multiply
    24,973.31x = 37,972.13 × 37,972.13
  4. Step 4: Simplify right side
    24,973.31x = 1,441,882,277.02
  5. Step 5: Solve for x
    x = 1,441,882,277.02/24,973.31
  6. Step 6: Final answer
    x = 57,736.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.