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Finding the Third Proportional to 10,251 and 15,356.25

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Solution

The third proportional to 10,251 and 15,356.25 is: 23,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 15,356.25 = 15,356.25 : x
  2. Step 2: Convert to fraction form
    10,251/15,356.25 = 15,356.25/x
  3. Step 3: Cross multiply
    10,251x = 15,356.25 × 15,356.25
  4. Step 4: Simplify right side
    10,251x = 235,814,414.06
  5. Step 5: Solve for x
    x = 235,814,414.06/10,251
  6. Step 6: Final answer
    x = 23,004.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.