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Finding the Third Proportional to 6,414.19 and 8,792.30

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Solution

The third proportional to 6,414.19 and 8,792.30 is: 12,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.19 : 8,792.30 = 8,792.30 : x
  2. Step 2: Convert to fraction form
    6,414.19/8,792.30 = 8,792.30/x
  3. Step 3: Cross multiply
    6,414.19x = 8,792.30 × 8,792.30
  4. Step 4: Simplify right side
    6,414.19x = 77,304,484.34
  5. Step 5: Solve for x
    x = 77,304,484.34/6,414.19
  6. Step 6: Final answer
    x = 12,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.