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Finding the Third Proportional to 5,785 and 8,654

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Solution

The third proportional to 5,785 and 8,654 is: 12,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785 : 8,654 = 8,654 : x
  2. Step 2: Convert to fraction form
    5,785/8,654 = 8,654/x
  3. Step 3: Cross multiply
    5,785x = 8,654 × 8,654
  4. Step 4: Simplify right side
    5,785x = 74,891,716
  5. Step 5: Solve for x
    x = 74,891,716/5,785
  6. Step 6: Final answer
    x = 12,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.