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Finding the Third Proportional to 29,170 and 62,480

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Solution

The third proportional to 29,170 and 62,480 is: 133,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170 : 62,480 = 62,480 : x
  2. Step 2: Convert to fraction form
    29,170/62,480 = 62,480/x
  3. Step 3: Cross multiply
    29,170x = 62,480 × 62,480
  4. Step 4: Simplify right side
    29,170x = 3,903,750,400
  5. Step 5: Solve for x
    x = 3,903,750,400/29,170
  6. Step 6: Final answer
    x = 133,827.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.