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Finding the Third Proportional to 5,680.13 and 8,892.28

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Solution

The third proportional to 5,680.13 and 8,892.28 is: 13,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.13 : 8,892.28 = 8,892.28 : x
  2. Step 2: Convert to fraction form
    5,680.13/8,892.28 = 8,892.28/x
  3. Step 3: Cross multiply
    5,680.13x = 8,892.28 × 8,892.28
  4. Step 4: Simplify right side
    5,680.13x = 79,072,665.83
  5. Step 5: Solve for x
    x = 79,072,665.83/5,680.13
  6. Step 6: Final answer
    x = 13,920.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.