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Finding the Third Proportional to 26,805.50 and 57,292.13

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Solution

The third proportional to 26,805.50 and 57,292.13 is: 122,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.50 : 57,292.13 = 57,292.13 : x
  2. Step 2: Convert to fraction form
    26,805.50/57,292.13 = 57,292.13/x
  3. Step 3: Cross multiply
    26,805.50x = 57,292.13 × 57,292.13
  4. Step 4: Simplify right side
    26,805.50x = 3,282,387,587.02
  5. Step 5: Solve for x
    x = 3,282,387,587.02/26,805.50
  6. Step 6: Final answer
    x = 122,452.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.