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Finding the Third Proportional to 5,840 and 10,330

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Solution

The third proportional to 5,840 and 10,330 is: 18,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 10,330 = 10,330 : x
  2. Step 2: Convert to fraction form
    5,840/10,330 = 10,330/x
  3. Step 3: Cross multiply
    5,840x = 10,330 × 10,330
  4. Step 4: Simplify right side
    5,840x = 106,708,900
  5. Step 5: Solve for x
    x = 106,708,900/5,840
  6. Step 6: Final answer
    x = 18,272.07

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.