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Finding the Third Proportional to 9,486.38 and 15,242.06

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Solution

The third proportional to 9,486.38 and 15,242.06 is: 24,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.38 : 15,242.06 = 15,242.06 : x
  2. Step 2: Convert to fraction form
    9,486.38/15,242.06 = 15,242.06/x
  3. Step 3: Cross multiply
    9,486.38x = 15,242.06 × 15,242.06
  4. Step 4: Simplify right side
    9,486.38x = 232,320,469.25
  5. Step 5: Solve for x
    x = 232,320,469.25/9,486.38
  6. Step 6: Final answer
    x = 24,489.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.