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Finding the Third Proportional to 39,472 and 86,072

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Solution

The third proportional to 39,472 and 86,072 is: 187,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472 : 86,072 = 86,072 : x
  2. Step 2: Convert to fraction form
    39,472/86,072 = 86,072/x
  3. Step 3: Cross multiply
    39,472x = 86,072 × 86,072
  4. Step 4: Simplify right side
    39,472x = 7,408,389,184
  5. Step 5: Solve for x
    x = 7,408,389,184/39,472
  6. Step 6: Final answer
    x = 187,687.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.