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Finding the Third Proportional to 25,597 and 55,145

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Solution

The third proportional to 25,597 and 55,145 is: 118,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597 : 55,145 = 55,145 : x
  2. Step 2: Convert to fraction form
    25,597/55,145 = 55,145/x
  3. Step 3: Cross multiply
    25,597x = 55,145 × 55,145
  4. Step 4: Simplify right side
    25,597x = 3,040,971,025
  5. Step 5: Solve for x
    x = 3,040,971,025/25,597
  6. Step 6: Final answer
    x = 118,801.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.