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Finding the Third Proportional to 29,084 and 62,774

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Solution

The third proportional to 29,084 and 62,774 is: 135,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084 : 62,774 = 62,774 : x
  2. Step 2: Convert to fraction form
    29,084/62,774 = 62,774/x
  3. Step 3: Cross multiply
    29,084x = 62,774 × 62,774
  4. Step 4: Simplify right side
    29,084x = 3,940,575,076
  5. Step 5: Solve for x
    x = 3,940,575,076/29,084
  6. Step 6: Final answer
    x = 135,489.45

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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.