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Finding the Third Proportional to 5,866.17 and 9,098.26

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Solution

The third proportional to 5,866.17 and 9,098.26 is: 14,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.17 : 9,098.26 = 9,098.26 : x
  2. Step 2: Convert to fraction form
    5,866.17/9,098.26 = 9,098.26/x
  3. Step 3: Cross multiply
    5,866.17x = 9,098.26 × 9,098.26
  4. Step 4: Simplify right side
    5,866.17x = 82,778,366.30
  5. Step 5: Solve for x
    x = 82,778,366.30/5,866.17
  6. Step 6: Final answer
    x = 14,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.