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Finding the Third Proportional to 16,782.75 and 22,710.38

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Solution

The third proportional to 16,782.75 and 22,710.38 is: 30,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.75 : 22,710.38 = 22,710.38 : x
  2. Step 2: Convert to fraction form
    16,782.75/22,710.38 = 22,710.38/x
  3. Step 3: Cross multiply
    16,782.75x = 22,710.38 × 22,710.38
  4. Step 4: Simplify right side
    16,782.75x = 515,761,132.64
  5. Step 5: Solve for x
    x = 515,761,132.64/16,782.75
  6. Step 6: Final answer
    x = 30,731.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.