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Finding the Third Proportional to 27,083.74 and 42,103.55

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Solution

The third proportional to 27,083.74 and 42,103.55 is: 65,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.74 : 42,103.55 = 42,103.55 : x
  2. Step 2: Convert to fraction form
    27,083.74/42,103.55 = 42,103.55/x
  3. Step 3: Cross multiply
    27,083.74x = 42,103.55 × 42,103.55
  4. Step 4: Simplify right side
    27,083.74x = 1,772,708,659.46
  5. Step 5: Solve for x
    x = 1,772,708,659.46/27,083.74
  6. Step 6: Final answer
    x = 65,452.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.