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Finding the Third Proportional to 20,386 and 42,084

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Solution

The third proportional to 20,386 and 42,084 is: 86,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386 : 42,084 = 42,084 : x
  2. Step 2: Convert to fraction form
    20,386/42,084 = 42,084/x
  3. Step 3: Cross multiply
    20,386x = 42,084 × 42,084
  4. Step 4: Simplify right side
    20,386x = 1,771,063,056
  5. Step 5: Solve for x
    x = 1,771,063,056/20,386
  6. Step 6: Final answer
    x = 86,876.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.