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Finding the Third Proportional to 40,011 and 58,371.75

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Solution

The third proportional to 40,011 and 58,371.75 is: 85,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,011 : 58,371.75 = 58,371.75 : x
  2. Step 2: Convert to fraction form
    40,011/58,371.75 = 58,371.75/x
  3. Step 3: Cross multiply
    40,011x = 58,371.75 × 58,371.75
  4. Step 4: Simplify right side
    40,011x = 3,407,261,198.06
  5. Step 5: Solve for x
    x = 3,407,261,198.06/40,011
  6. Step 6: Final answer
    x = 85,158.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.