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Finding the Third Proportional to 5,937 and 9,230

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Solution

The third proportional to 5,937 and 9,230 is: 14,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937 : 9,230 = 9,230 : x
  2. Step 2: Convert to fraction form
    5,937/9,230 = 9,230/x
  3. Step 3: Cross multiply
    5,937x = 9,230 × 9,230
  4. Step 4: Simplify right side
    5,937x = 85,192,900
  5. Step 5: Solve for x
    x = 85,192,900/5,937
  6. Step 6: Final answer
    x = 14,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.