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Finding the Third Proportional to 5,882 and 10,230

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Solution

The third proportional to 5,882 and 10,230 is: 17,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882 : 10,230 = 10,230 : x
  2. Step 2: Convert to fraction form
    5,882/10,230 = 10,230/x
  3. Step 3: Cross multiply
    5,882x = 10,230 × 10,230
  4. Step 4: Simplify right side
    5,882x = 104,652,900
  5. Step 5: Solve for x
    x = 104,652,900/5,882
  6. Step 6: Final answer
    x = 17,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.