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Finding the Third Proportional to 26,268.47 and 57,001.97

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Solution

The third proportional to 26,268.47 and 57,001.97 is: 123,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,268.47 : 57,001.97 = 57,001.97 : x
  2. Step 2: Convert to fraction form
    26,268.47/57,001.97 = 57,001.97/x
  3. Step 3: Cross multiply
    26,268.47x = 57,001.97 × 57,001.97
  4. Step 4: Simplify right side
    26,268.47x = 3,249,224,441.38
  5. Step 5: Solve for x
    x = 3,249,224,441.38/26,268.47
  6. Step 6: Final answer
    x = 123,692.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.