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Finding the Third Proportional to 5,864 and 9,180

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Solution

The third proportional to 5,864 and 9,180 is: 14,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 9,180 = 9,180 : x
  2. Step 2: Convert to fraction form
    5,864/9,180 = 9,180/x
  3. Step 3: Cross multiply
    5,864x = 9,180 × 9,180
  4. Step 4: Simplify right side
    5,864x = 84,272,400
  5. Step 5: Solve for x
    x = 84,272,400/5,864
  6. Step 6: Final answer
    x = 14,371.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.