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Finding the Third Proportional to 39,538 and 61,575

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Solution

The third proportional to 39,538 and 61,575 is: 95,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538 : 61,575 = 61,575 : x
  2. Step 2: Convert to fraction form
    39,538/61,575 = 61,575/x
  3. Step 3: Cross multiply
    39,538x = 61,575 × 61,575
  4. Step 4: Simplify right side
    39,538x = 3,791,480,625
  5. Step 5: Solve for x
    x = 3,791,480,625/39,538
  6. Step 6: Final answer
    x = 95,894.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.