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Finding the Third Proportional to 25,770.38 and 55,914

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Solution

The third proportional to 25,770.38 and 55,914 is: 121,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.38 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    25,770.38/55,914 = 55,914/x
  3. Step 3: Cross multiply
    25,770.38x = 55,914 × 55,914
  4. Step 4: Simplify right side
    25,770.38x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/25,770.38
  6. Step 6: Final answer
    x = 121,316.64

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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.