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Finding the Third Proportional to 5,923.13 and 7,860.96

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Solution

The third proportional to 5,923.13 and 7,860.96 is: 10,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 7,860.96 = 7,860.96 : x
  2. Step 2: Convert to fraction form
    5,923.13/7,860.96 = 7,860.96/x
  3. Step 3: Cross multiply
    5,923.13x = 7,860.96 × 7,860.96
  4. Step 4: Simplify right side
    5,923.13x = 61,794,614.74
  5. Step 5: Solve for x
    x = 61,794,614.74/5,923.13
  6. Step 6: Final answer
    x = 10,432.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.