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Finding the Third Proportional to 55,009.13 and 82,635.38

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Solution

The third proportional to 55,009.13 and 82,635.38 is: 124,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.13 : 82,635.38 = 82,635.38 : x
  2. Step 2: Convert to fraction form
    55,009.13/82,635.38 = 82,635.38/x
  3. Step 3: Cross multiply
    55,009.13x = 82,635.38 × 82,635.38
  4. Step 4: Simplify right side
    55,009.13x = 6,828,605,201.39
  5. Step 5: Solve for x
    x = 6,828,605,201.39/55,009.13
  6. Step 6: Final answer
    x = 124,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.