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Finding the Third Proportional to 16,562.25 and 24,780.38

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Solution

The third proportional to 16,562.25 and 24,780.38 is: 37,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.25 : 24,780.38 = 24,780.38 : x
  2. Step 2: Convert to fraction form
    16,562.25/24,780.38 = 24,780.38/x
  3. Step 3: Cross multiply
    16,562.25x = 24,780.38 × 24,780.38
  4. Step 4: Simplify right side
    16,562.25x = 614,066,985.14
  5. Step 5: Solve for x
    x = 614,066,985.14/16,562.25
  6. Step 6: Final answer
    x = 37,076.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.