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Finding the Third Proportional to 26,972 and 41,877

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Solution

The third proportional to 26,972 and 41,877 is: 65,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972 : 41,877 = 41,877 : x
  2. Step 2: Convert to fraction form
    26,972/41,877 = 41,877/x
  3. Step 3: Cross multiply
    26,972x = 41,877 × 41,877
  4. Step 4: Simplify right side
    26,972x = 1,753,683,129
  5. Step 5: Solve for x
    x = 1,753,683,129/26,972
  6. Step 6: Final answer
    x = 65,018.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.