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Finding the Third Proportional to 6,452.16 and 10,265.91

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Solution

The third proportional to 6,452.16 and 10,265.91 is: 16,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.16 : 10,265.91 = 10,265.91 : x
  2. Step 2: Convert to fraction form
    6,452.16/10,265.91 = 10,265.91/x
  3. Step 3: Cross multiply
    6,452.16x = 10,265.91 × 10,265.91
  4. Step 4: Simplify right side
    6,452.16x = 105,388,831.13
  5. Step 5: Solve for x
    x = 105,388,831.13/6,452.16
  6. Step 6: Final answer
    x = 16,333.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.