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Finding the Third Proportional to 26,862 and 42,354

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Solution

The third proportional to 26,862 and 42,354 is: 66,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862 : 42,354 = 42,354 : x
  2. Step 2: Convert to fraction form
    26,862/42,354 = 42,354/x
  3. Step 3: Cross multiply
    26,862x = 42,354 × 42,354
  4. Step 4: Simplify right side
    26,862x = 1,793,861,316
  5. Step 5: Solve for x
    x = 1,793,861,316/26,862
  6. Step 6: Final answer
    x = 66,780.63

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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.