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Finding the Third Proportional to 16,225.31 and 24,642.56

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Solution

The third proportional to 16,225.31 and 24,642.56 is: 37,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.31 : 24,642.56 = 24,642.56 : x
  2. Step 2: Convert to fraction form
    16,225.31/24,642.56 = 24,642.56/x
  3. Step 3: Cross multiply
    16,225.31x = 24,642.56 × 24,642.56
  4. Step 4: Simplify right side
    16,225.31x = 607,255,886.57
  5. Step 5: Solve for x
    x = 607,255,886.57/16,225.31
  6. Step 6: Final answer
    x = 37,426.45

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