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Finding the Third Proportional to 5,830 and 9,231

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Solution

The third proportional to 5,830 and 9,231 is: 14,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830 : 9,231 = 9,231 : x
  2. Step 2: Convert to fraction form
    5,830/9,231 = 9,231/x
  3. Step 3: Cross multiply
    5,830x = 9,231 × 9,231
  4. Step 4: Simplify right side
    5,830x = 85,211,361
  5. Step 5: Solve for x
    x = 85,211,361/5,830
  6. Step 6: Final answer
    x = 14,616.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.