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Finding the Third Proportional to 26,580 and 55,914

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Solution

The third proportional to 26,580 and 55,914 is: 117,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    26,580/55,914 = 55,914/x
  3. Step 3: Cross multiply
    26,580x = 55,914 × 55,914
  4. Step 4: Simplify right side
    26,580x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/26,580
  6. Step 6: Final answer
    x = 117,621.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.