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Finding the Third Proportional to 26,470 and 40,949

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Solution

The third proportional to 26,470 and 40,949 is: 63,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,470 : 40,949 = 40,949 : x
  2. Step 2: Convert to fraction form
    26,470/40,949 = 40,949/x
  3. Step 3: Cross multiply
    26,470x = 40,949 × 40,949
  4. Step 4: Simplify right side
    26,470x = 1,676,820,601
  5. Step 5: Solve for x
    x = 1,676,820,601/26,470
  6. Step 6: Final answer
    x = 63,347.96

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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.