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Finding the Third Proportional to 25,258.50 and 39,625

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Solution

The third proportional to 25,258.50 and 39,625 is: 62,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.50 : 39,625 = 39,625 : x
  2. Step 2: Convert to fraction form
    25,258.50/39,625 = 39,625/x
  3. Step 3: Cross multiply
    25,258.50x = 39,625 × 39,625
  4. Step 4: Simplify right side
    25,258.50x = 1,570,140,625
  5. Step 5: Solve for x
    x = 1,570,140,625/25,258.50
  6. Step 6: Final answer
    x = 62,162.86

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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.