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Finding the Third Proportional to 26,335.13 and 58,001.06

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Solution

The third proportional to 26,335.13 and 58,001.06 is: 127,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,335.13 : 58,001.06 = 58,001.06 : x
  2. Step 2: Convert to fraction form
    26,335.13/58,001.06 = 58,001.06/x
  3. Step 3: Cross multiply
    26,335.13x = 58,001.06 × 58,001.06
  4. Step 4: Simplify right side
    26,335.13x = 3,364,123,251.13
  5. Step 5: Solve for x
    x = 3,364,123,251.13/26,335.13
  6. Step 6: Final answer
    x = 127,742.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.