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Finding the Third Proportional to 38,563 and 58,331

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Solution

The third proportional to 38,563 and 58,331 is: 88,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563 : 58,331 = 58,331 : x
  2. Step 2: Convert to fraction form
    38,563/58,331 = 58,331/x
  3. Step 3: Cross multiply
    38,563x = 58,331 × 58,331
  4. Step 4: Simplify right side
    38,563x = 3,402,505,561
  5. Step 5: Solve for x
    x = 3,402,505,561/38,563
  6. Step 6: Final answer
    x = 88,232.39

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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.