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Finding the Third Proportional to 25,249 and 39,610

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Solution

The third proportional to 25,249 and 39,610 is: 62,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249 : 39,610 = 39,610 : x
  2. Step 2: Convert to fraction form
    25,249/39,610 = 39,610/x
  3. Step 3: Cross multiply
    25,249x = 39,610 × 39,610
  4. Step 4: Simplify right side
    25,249x = 1,568,952,100
  5. Step 5: Solve for x
    x = 1,568,952,100/25,249
  6. Step 6: Final answer
    x = 62,139.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.