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Finding the Third Proportional to 13,706.13 and 29,891.25

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Solution

The third proportional to 13,706.13 and 29,891.25 is: 65,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.13 : 29,891.25 = 29,891.25 : x
  2. Step 2: Convert to fraction form
    13,706.13/29,891.25 = 29,891.25/x
  3. Step 3: Cross multiply
    13,706.13x = 29,891.25 × 29,891.25
  4. Step 4: Simplify right side
    13,706.13x = 893,486,826.56
  5. Step 5: Solve for x
    x = 893,486,826.56/13,706.13
  6. Step 6: Final answer
    x = 65,188.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.