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Finding the Third Proportional to 26,464 and 42,126

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Solution

The third proportional to 26,464 and 42,126 is: 67,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464 : 42,126 = 42,126 : x
  2. Step 2: Convert to fraction form
    26,464/42,126 = 42,126/x
  3. Step 3: Cross multiply
    26,464x = 42,126 × 42,126
  4. Step 4: Simplify right side
    26,464x = 1,774,599,876
  5. Step 5: Solve for x
    x = 1,774,599,876/26,464
  6. Step 6: Final answer
    x = 67,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.