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Finding the Third Proportional to 5,740 and 8,892

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Solution

The third proportional to 5,740 and 8,892 is: 13,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740 : 8,892 = 8,892 : x
  2. Step 2: Convert to fraction form
    5,740/8,892 = 8,892/x
  3. Step 3: Cross multiply
    5,740x = 8,892 × 8,892
  4. Step 4: Simplify right side
    5,740x = 79,067,664
  5. Step 5: Solve for x
    x = 79,067,664/5,740
  6. Step 6: Final answer
    x = 13,774.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.