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Finding the Third Proportional to 25,901 and 39,995.50

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Solution

The third proportional to 25,901 and 39,995.50 is: 61,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901 : 39,995.50 = 39,995.50 : x
  2. Step 2: Convert to fraction form
    25,901/39,995.50 = 39,995.50/x
  3. Step 3: Cross multiply
    25,901x = 39,995.50 × 39,995.50
  4. Step 4: Simplify right side
    25,901x = 1,599,640,020.25
  5. Step 5: Solve for x
    x = 1,599,640,020.25/25,901
  6. Step 6: Final answer
    x = 61,759.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.