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Finding the Third Proportional to 13,698 and 29,718

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Solution

The third proportional to 13,698 and 29,718 is: 64,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 29,718 = 29,718 : x
  2. Step 2: Convert to fraction form
    13,698/29,718 = 29,718/x
  3. Step 3: Cross multiply
    13,698x = 29,718 × 29,718
  4. Step 4: Simplify right side
    13,698x = 883,159,524
  5. Step 5: Solve for x
    x = 883,159,524/13,698
  6. Step 6: Final answer
    x = 64,473.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.