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Finding the Third Proportional to 26,506 and 57,866

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Solution

The third proportional to 26,506 and 57,866 is: 126,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506 : 57,866 = 57,866 : x
  2. Step 2: Convert to fraction form
    26,506/57,866 = 57,866/x
  3. Step 3: Cross multiply
    26,506x = 57,866 × 57,866
  4. Step 4: Simplify right side
    26,506x = 3,348,473,956
  5. Step 5: Solve for x
    x = 3,348,473,956/26,506
  6. Step 6: Final answer
    x = 126,328.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.