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Finding the Third Proportional to 10,600.91 and 14,396.91

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Solution

The third proportional to 10,600.91 and 14,396.91 is: 19,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.91 : 14,396.91 = 14,396.91 : x
  2. Step 2: Convert to fraction form
    10,600.91/14,396.91 = 14,396.91/x
  3. Step 3: Cross multiply
    10,600.91x = 14,396.91 × 14,396.91
  4. Step 4: Simplify right side
    10,600.91x = 207,270,909.57
  5. Step 5: Solve for x
    x = 207,270,909.57/10,600.91
  6. Step 6: Final answer
    x = 19,552.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.