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Finding the Third Proportional to 15,013 and 25,759.50

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Solution

The third proportional to 15,013 and 25,759.50 is: 44,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013 : 25,759.50 = 25,759.50 : x
  2. Step 2: Convert to fraction form
    15,013/25,759.50 = 25,759.50/x
  3. Step 3: Cross multiply
    15,013x = 25,759.50 × 25,759.50
  4. Step 4: Simplify right side
    15,013x = 663,551,840.25
  5. Step 5: Solve for x
    x = 663,551,840.25/15,013
  6. Step 6: Final answer
    x = 44,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.