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Finding the Third Proportional to 26,290 and 57,017

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Solution

The third proportional to 26,290 and 57,017 is: 123,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,290 : 57,017 = 57,017 : x
  2. Step 2: Convert to fraction form
    26,290/57,017 = 57,017/x
  3. Step 3: Cross multiply
    26,290x = 57,017 × 57,017
  4. Step 4: Simplify right side
    26,290x = 3,250,938,289
  5. Step 5: Solve for x
    x = 3,250,938,289/26,290
  6. Step 6: Final answer
    x = 123,656.84

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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.