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Finding the Third Proportional to 25,277 and 33,541

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Solution

The third proportional to 25,277 and 33,541 is: 44,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277 : 33,541 = 33,541 : x
  2. Step 2: Convert to fraction form
    25,277/33,541 = 33,541/x
  3. Step 3: Cross multiply
    25,277x = 33,541 × 33,541
  4. Step 4: Simplify right side
    25,277x = 1,124,998,681
  5. Step 5: Solve for x
    x = 1,124,998,681/25,277
  6. Step 6: Final answer
    x = 44,506.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.