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Finding the Third Proportional to 13,630 and 29,687

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Solution

The third proportional to 13,630 and 29,687 is: 64,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630 : 29,687 = 29,687 : x
  2. Step 2: Convert to fraction form
    13,630/29,687 = 29,687/x
  3. Step 3: Cross multiply
    13,630x = 29,687 × 29,687
  4. Step 4: Simplify right side
    13,630x = 881,317,969
  5. Step 5: Solve for x
    x = 881,317,969/13,630
  6. Step 6: Final answer
    x = 64,660.16

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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.