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Finding the Third Proportional to 25,564 and 55,914

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Solution

The third proportional to 25,564 and 55,914 is: 122,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    25,564/55,914 = 55,914/x
  3. Step 3: Cross multiply
    25,564x = 55,914 × 55,914
  4. Step 4: Simplify right side
    25,564x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/25,564
  6. Step 6: Final answer
    x = 122,296.02

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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.