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Finding the Third Proportional to 26,863 and 42,355

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Solution

The third proportional to 26,863 and 42,355 is: 66,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863 : 42,355 = 42,355 : x
  2. Step 2: Convert to fraction form
    26,863/42,355 = 42,355/x
  3. Step 3: Cross multiply
    26,863x = 42,355 × 42,355
  4. Step 4: Simplify right side
    26,863x = 1,793,946,025
  5. Step 5: Solve for x
    x = 1,793,946,025/26,863
  6. Step 6: Final answer
    x = 66,781.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.