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Finding the Third Proportional to 40,961.81 and 61,731.84

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Solution

The third proportional to 40,961.81 and 61,731.84 is: 93,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,961.81 : 61,731.84 = 61,731.84 : x
  2. Step 2: Convert to fraction form
    40,961.81/61,731.84 = 61,731.84/x
  3. Step 3: Cross multiply
    40,961.81x = 61,731.84 × 61,731.84
  4. Step 4: Simplify right side
    40,961.81x = 3,810,820,532.77
  5. Step 5: Solve for x
    x = 3,810,820,532.77/40,961.81
  6. Step 6: Final answer
    x = 93,033.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.