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Finding the Third Proportional to 25,253 and 39,101

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Solution

The third proportional to 25,253 and 39,101 is: 60,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253 : 39,101 = 39,101 : x
  2. Step 2: Convert to fraction form
    25,253/39,101 = 39,101/x
  3. Step 3: Cross multiply
    25,253x = 39,101 × 39,101
  4. Step 4: Simplify right side
    25,253x = 1,528,888,201
  5. Step 5: Solve for x
    x = 1,528,888,201/25,253
  6. Step 6: Final answer
    x = 60,542.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.