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Finding the Third Proportional to 26,358.75 and 42,022.13

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Solution

The third proportional to 26,358.75 and 42,022.13 is: 66,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.75 : 42,022.13 = 42,022.13 : x
  2. Step 2: Convert to fraction form
    26,358.75/42,022.13 = 42,022.13/x
  3. Step 3: Cross multiply
    26,358.75x = 42,022.13 × 42,022.13
  4. Step 4: Simplify right side
    26,358.75x = 1,765,858,989.52
  5. Step 5: Solve for x
    x = 1,765,858,989.52/26,358.75
  6. Step 6: Final answer
    x = 66,993.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.