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Finding the Third Proportional to 38,523 and 61,125

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Solution

The third proportional to 38,523 and 61,125 is: 96,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523 : 61,125 = 61,125 : x
  2. Step 2: Convert to fraction form
    38,523/61,125 = 61,125/x
  3. Step 3: Cross multiply
    38,523x = 61,125 × 61,125
  4. Step 4: Simplify right side
    38,523x = 3,736,265,625
  5. Step 5: Solve for x
    x = 3,736,265,625/38,523
  6. Step 6: Final answer
    x = 96,987.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.