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Finding the Third Proportional to 40,971.50 and 86,743

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Solution

The third proportional to 40,971.50 and 86,743 is: 183,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971.50 : 86,743 = 86,743 : x
  2. Step 2: Convert to fraction form
    40,971.50/86,743 = 86,743/x
  3. Step 3: Cross multiply
    40,971.50x = 86,743 × 86,743
  4. Step 4: Simplify right side
    40,971.50x = 7,524,348,049
  5. Step 5: Solve for x
    x = 7,524,348,049/40,971.50
  6. Step 6: Final answer
    x = 183,648.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.