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Finding the Third Proportional to 5,829 and 7,486

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Solution

The third proportional to 5,829 and 7,486 is: 9,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829 : 7,486 = 7,486 : x
  2. Step 2: Convert to fraction form
    5,829/7,486 = 7,486/x
  3. Step 3: Cross multiply
    5,829x = 7,486 × 7,486
  4. Step 4: Simplify right side
    5,829x = 56,040,196
  5. Step 5: Solve for x
    x = 56,040,196/5,829
  6. Step 6: Final answer
    x = 9,614.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.