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Finding the Third Proportional to 26,330 and 57,580

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Solution

The third proportional to 26,330 and 57,580 is: 125,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,330 : 57,580 = 57,580 : x
  2. Step 2: Convert to fraction form
    26,330/57,580 = 57,580/x
  3. Step 3: Cross multiply
    26,330x = 57,580 × 57,580
  4. Step 4: Simplify right side
    26,330x = 3,315,456,400
  5. Step 5: Solve for x
    x = 3,315,456,400/26,330
  6. Step 6: Final answer
    x = 125,919.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.