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Finding the Third Proportional to 39,943.13 and 92,476.69

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Solution

The third proportional to 39,943.13 and 92,476.69 is: 214,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,943.13 : 92,476.69 = 92,476.69 : x
  2. Step 2: Convert to fraction form
    39,943.13/92,476.69 = 92,476.69/x
  3. Step 3: Cross multiply
    39,943.13x = 92,476.69 × 92,476.69
  4. Step 4: Simplify right side
    39,943.13x = 8,551,937,730.97
  5. Step 5: Solve for x
    x = 8,551,937,730.97/39,943.13
  6. Step 6: Final answer
    x = 214,102.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.