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Finding the Third Proportional to 7,114.87 and 10,801.16

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Solution

The third proportional to 7,114.87 and 10,801.16 is: 16,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.87 : 10,801.16 = 10,801.16 : x
  2. Step 2: Convert to fraction form
    7,114.87/10,801.16 = 10,801.16/x
  3. Step 3: Cross multiply
    7,114.87x = 10,801.16 × 10,801.16
  4. Step 4: Simplify right side
    7,114.87x = 116,665,060.72
  5. Step 5: Solve for x
    x = 116,665,060.72/7,114.87
  6. Step 6: Final answer
    x = 16,397.36

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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.