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Finding the Third Proportional to 28,782 and 42,069

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Solution

The third proportional to 28,782 and 42,069 is: 61,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782 : 42,069 = 42,069 : x
  2. Step 2: Convert to fraction form
    28,782/42,069 = 42,069/x
  3. Step 3: Cross multiply
    28,782x = 42,069 × 42,069
  4. Step 4: Simplify right side
    28,782x = 1,769,800,761
  5. Step 5: Solve for x
    x = 1,769,800,761/28,782
  6. Step 6: Final answer
    x = 61,489.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.