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Finding the Third Proportional to 26,548 and 58,199

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Solution

The third proportional to 26,548 and 58,199 is: 127,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548 : 58,199 = 58,199 : x
  2. Step 2: Convert to fraction form
    26,548/58,199 = 58,199/x
  3. Step 3: Cross multiply
    26,548x = 58,199 × 58,199
  4. Step 4: Simplify right side
    26,548x = 3,387,123,601
  5. Step 5: Solve for x
    x = 3,387,123,601/26,548
  6. Step 6: Final answer
    x = 127,584.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.