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Finding the Third Proportional to 9,102.38 and 19,537.88

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Solution

The third proportional to 9,102.38 and 19,537.88 is: 41,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.38 : 19,537.88 = 19,537.88 : x
  2. Step 2: Convert to fraction form
    9,102.38/19,537.88 = 19,537.88/x
  3. Step 3: Cross multiply
    9,102.38x = 19,537.88 × 19,537.88
  4. Step 4: Simplify right side
    9,102.38x = 381,728,559.52
  5. Step 5: Solve for x
    x = 381,728,559.52/9,102.38
  6. Step 6: Final answer
    x = 41,937.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.