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Finding the Third Proportional to 25,544 and 39,652

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Solution

The third proportional to 25,544 and 39,652 is: 61,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 39,652 = 39,652 : x
  2. Step 2: Convert to fraction form
    25,544/39,652 = 39,652/x
  3. Step 3: Cross multiply
    25,544x = 39,652 × 39,652
  4. Step 4: Simplify right side
    25,544x = 1,572,281,104
  5. Step 5: Solve for x
    x = 1,572,281,104/25,544
  6. Step 6: Final answer
    x = 61,551.88

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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.