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Finding the Third Proportional to 5,781 and 7,785

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Solution

The third proportional to 5,781 and 7,785 is: 10,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 7,785 = 7,785 : x
  2. Step 2: Convert to fraction form
    5,781/7,785 = 7,785/x
  3. Step 3: Cross multiply
    5,781x = 7,785 × 7,785
  4. Step 4: Simplify right side
    5,781x = 60,606,225
  5. Step 5: Solve for x
    x = 60,606,225/5,781
  6. Step 6: Final answer
    x = 10,483.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.