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Finding the Third Proportional to 39,146 and 55,419

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Solution

The third proportional to 39,146 and 55,419 is: 78,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,146 : 55,419 = 55,419 : x
  2. Step 2: Convert to fraction form
    39,146/55,419 = 55,419/x
  3. Step 3: Cross multiply
    39,146x = 55,419 × 55,419
  4. Step 4: Simplify right side
    39,146x = 3,071,265,561
  5. Step 5: Solve for x
    x = 3,071,265,561/39,146
  6. Step 6: Final answer
    x = 78,456.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.