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Finding the Third Proportional to 20,142 and 42,310.69

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Solution

The third proportional to 20,142 and 42,310.69 is: 88,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 42,310.69 = 42,310.69 : x
  2. Step 2: Convert to fraction form
    20,142/42,310.69 = 42,310.69/x
  3. Step 3: Cross multiply
    20,142x = 42,310.69 × 42,310.69
  4. Step 4: Simplify right side
    20,142x = 1,790,194,276.72
  5. Step 5: Solve for x
    x = 1,790,194,276.72/20,142
  6. Step 6: Final answer
    x = 88,878.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.