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Finding the Third Proportional to 40,940 and 61,157

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Solution

The third proportional to 40,940 and 61,157 is: 91,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,940 : 61,157 = 61,157 : x
  2. Step 2: Convert to fraction form
    40,940/61,157 = 61,157/x
  3. Step 3: Cross multiply
    40,940x = 61,157 × 61,157
  4. Step 4: Simplify right side
    40,940x = 3,740,178,649
  5. Step 5: Solve for x
    x = 3,740,178,649/40,940
  6. Step 6: Final answer
    x = 91,357.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.