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Finding the Third Proportional to 10,562.06 and 14,767.31

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Solution

The third proportional to 10,562.06 and 14,767.31 is: 20,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.06 : 14,767.31 = 14,767.31 : x
  2. Step 2: Convert to fraction form
    10,562.06/14,767.31 = 14,767.31/x
  3. Step 3: Cross multiply
    10,562.06x = 14,767.31 × 14,767.31
  4. Step 4: Simplify right side
    10,562.06x = 218,073,518.47
  5. Step 5: Solve for x
    x = 218,073,518.47/10,562.06
  6. Step 6: Final answer
    x = 20,646.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.