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Finding the Third Proportional to 13,698 and 29,863

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Solution

The third proportional to 13,698 and 29,863 is: 65,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 29,863 = 29,863 : x
  2. Step 2: Convert to fraction form
    13,698/29,863 = 29,863/x
  3. Step 3: Cross multiply
    13,698x = 29,863 × 29,863
  4. Step 4: Simplify right side
    13,698x = 891,798,769
  5. Step 5: Solve for x
    x = 891,798,769/13,698
  6. Step 6: Final answer
    x = 65,104.30

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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.