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Finding the Third Proportional to 40,020 and 61,942

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Solution

The third proportional to 40,020 and 61,942 is: 95,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,020 : 61,942 = 61,942 : x
  2. Step 2: Convert to fraction form
    40,020/61,942 = 61,942/x
  3. Step 3: Cross multiply
    40,020x = 61,942 × 61,942
  4. Step 4: Simplify right side
    40,020x = 3,836,811,364
  5. Step 5: Solve for x
    x = 3,836,811,364/40,020
  6. Step 6: Final answer
    x = 95,872.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.