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Finding the Third Proportional to 41,472 and 86,400

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Solution

The third proportional to 41,472 and 86,400 is: 180,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 86,400 = 86,400 : x
  2. Step 2: Convert to fraction form
    41,472/86,400 = 86,400/x
  3. Step 3: Cross multiply
    41,472x = 86,400 × 86,400
  4. Step 4: Simplify right side
    41,472x = 7,464,960,000
  5. Step 5: Solve for x
    x = 7,464,960,000/41,472
  6. Step 6: Final answer
    x = 180,000

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.