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Finding the Third Proportional to 29,698 and 65,348

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Solution

The third proportional to 29,698 and 65,348 is: 143,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698 : 65,348 = 65,348 : x
  2. Step 2: Convert to fraction form
    29,698/65,348 = 65,348/x
  3. Step 3: Cross multiply
    29,698x = 65,348 × 65,348
  4. Step 4: Simplify right side
    29,698x = 4,270,361,104
  5. Step 5: Solve for x
    x = 4,270,361,104/29,698
  6. Step 6: Final answer
    x = 143,792.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.