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Finding the Third Proportional to 8,665.13 and 13,774.13

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Solution

The third proportional to 8,665.13 and 13,774.13 is: 21,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.13 : 13,774.13 = 13,774.13 : x
  2. Step 2: Convert to fraction form
    8,665.13/13,774.13 = 13,774.13/x
  3. Step 3: Cross multiply
    8,665.13x = 13,774.13 × 13,774.13
  4. Step 4: Simplify right side
    8,665.13x = 189,726,519.52
  5. Step 5: Solve for x
    x = 189,726,519.52/8,665.13
  6. Step 6: Final answer
    x = 21,895.42

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Why These Related Problems?

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