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Finding the Third Proportional to 29,114 and 62,383

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Solution

The third proportional to 29,114 and 62,383 is: 133,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 62,383 = 62,383 : x
  2. Step 2: Convert to fraction form
    29,114/62,383 = 62,383/x
  3. Step 3: Cross multiply
    29,114x = 62,383 × 62,383
  4. Step 4: Simplify right side
    29,114x = 3,891,638,689
  5. Step 5: Solve for x
    x = 3,891,638,689/29,114
  6. Step 6: Final answer
    x = 133,668.98

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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.