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Finding the Third Proportional to 29,086 and 62,780

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Solution

The third proportional to 29,086 and 62,780 is: 135,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086 : 62,780 = 62,780 : x
  2. Step 2: Convert to fraction form
    29,086/62,780 = 62,780/x
  3. Step 3: Cross multiply
    29,086x = 62,780 × 62,780
  4. Step 4: Simplify right side
    29,086x = 3,941,328,400
  5. Step 5: Solve for x
    x = 3,941,328,400/29,086
  6. Step 6: Final answer
    x = 135,506.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.