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Finding the Third Proportional to 38,538 and 61,614

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Solution

The third proportional to 38,538 and 61,614 is: 98,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538 : 61,614 = 61,614 : x
  2. Step 2: Convert to fraction form
    38,538/61,614 = 61,614/x
  3. Step 3: Cross multiply
    38,538x = 61,614 × 61,614
  4. Step 4: Simplify right side
    38,538x = 3,796,284,996
  5. Step 5: Solve for x
    x = 3,796,284,996/38,538
  6. Step 6: Final answer
    x = 98,507.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.