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Finding the Third Proportional to 6,940.90 and 9,892.16

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Solution

The third proportional to 6,940.90 and 9,892.16 is: 14,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.90 : 9,892.16 = 9,892.16 : x
  2. Step 2: Convert to fraction form
    6,940.90/9,892.16 = 9,892.16/x
  3. Step 3: Cross multiply
    6,940.90x = 9,892.16 × 9,892.16
  4. Step 4: Simplify right side
    6,940.90x = 97,854,832.56
  5. Step 5: Solve for x
    x = 97,854,832.56/6,940.90
  6. Step 6: Final answer
    x = 14,098.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.