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Finding the Third Proportional to 17,915 and 42,142

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Solution

The third proportional to 17,915 and 42,142 is: 99,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,915 : 42,142 = 42,142 : x
  2. Step 2: Convert to fraction form
    17,915/42,142 = 42,142/x
  3. Step 3: Cross multiply
    17,915x = 42,142 × 42,142
  4. Step 4: Simplify right side
    17,915x = 1,775,948,164
  5. Step 5: Solve for x
    x = 1,775,948,164/17,915
  6. Step 6: Final answer
    x = 99,131.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.