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Finding the Third Proportional to 38,755 and 58,417

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Solution

The third proportional to 38,755 and 58,417 is: 88,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,755 : 58,417 = 58,417 : x
  2. Step 2: Convert to fraction form
    38,755/58,417 = 58,417/x
  3. Step 3: Cross multiply
    38,755x = 58,417 × 58,417
  4. Step 4: Simplify right side
    38,755x = 3,412,545,889
  5. Step 5: Solve for x
    x = 3,412,545,889/38,755
  6. Step 6: Final answer
    x = 88,054.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.