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Finding the Third Proportional to 40,976 and 61,202

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Solution

The third proportional to 40,976 and 61,202 is: 91,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,976 : 61,202 = 61,202 : x
  2. Step 2: Convert to fraction form
    40,976/61,202 = 61,202/x
  3. Step 3: Cross multiply
    40,976x = 61,202 × 61,202
  4. Step 4: Simplify right side
    40,976x = 3,745,684,804
  5. Step 5: Solve for x
    x = 3,745,684,804/40,976
  6. Step 6: Final answer
    x = 91,411.68

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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.