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Finding the Third Proportional to 40,020 and 61,677

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Solution

The third proportional to 40,020 and 61,677 is: 95,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,020 : 61,677 = 61,677 : x
  2. Step 2: Convert to fraction form
    40,020/61,677 = 61,677/x
  3. Step 3: Cross multiply
    40,020x = 61,677 × 61,677
  4. Step 4: Simplify right side
    40,020x = 3,804,052,329
  5. Step 5: Solve for x
    x = 3,804,052,329/40,020
  6. Step 6: Final answer
    x = 95,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.