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Finding the Third Proportional to 26,971 and 42,217

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Solution

The third proportional to 26,971 and 42,217 is: 66,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,971 : 42,217 = 42,217 : x
  2. Step 2: Convert to fraction form
    26,971/42,217 = 42,217/x
  3. Step 3: Cross multiply
    26,971x = 42,217 × 42,217
  4. Step 4: Simplify right side
    26,971x = 1,782,275,089
  5. Step 5: Solve for x
    x = 1,782,275,089/26,971
  6. Step 6: Final answer
    x = 66,081.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.