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Finding the Third Proportional to 26,978.38 and 40,847.13

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Solution

The third proportional to 26,978.38 and 40,847.13 is: 61,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.38 : 40,847.13 = 40,847.13 : x
  2. Step 2: Convert to fraction form
    26,978.38/40,847.13 = 40,847.13/x
  3. Step 3: Cross multiply
    26,978.38x = 40,847.13 × 40,847.13
  4. Step 4: Simplify right side
    26,978.38x = 1,668,487,620.77
  5. Step 5: Solve for x
    x = 1,668,487,620.77/26,978.38
  6. Step 6: Final answer
    x = 61,845.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.