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Finding the Third Proportional to 29,338 and 61,580

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Solution

The third proportional to 29,338 and 61,580 is: 129,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,338 : 61,580 = 61,580 : x
  2. Step 2: Convert to fraction form
    29,338/61,580 = 61,580/x
  3. Step 3: Cross multiply
    29,338x = 61,580 × 61,580
  4. Step 4: Simplify right side
    29,338x = 3,792,096,400
  5. Step 5: Solve for x
    x = 3,792,096,400/29,338
  6. Step 6: Final answer
    x = 129,255.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.