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Finding the Third Proportional to 39,460 and 55,501

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Solution

The third proportional to 39,460 and 55,501 is: 78,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 55,501 = 55,501 : x
  2. Step 2: Convert to fraction form
    39,460/55,501 = 55,501/x
  3. Step 3: Cross multiply
    39,460x = 55,501 × 55,501
  4. Step 4: Simplify right side
    39,460x = 3,080,361,001
  5. Step 5: Solve for x
    x = 3,080,361,001/39,460
  6. Step 6: Final answer
    x = 78,062.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.