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Finding the Third Proportional to 10,230.75 and 15,756.75

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Solution

The third proportional to 10,230.75 and 15,756.75 is: 24,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.75 : 15,756.75 = 15,756.75 : x
  2. Step 2: Convert to fraction form
    10,230.75/15,756.75 = 15,756.75/x
  3. Step 3: Cross multiply
    10,230.75x = 15,756.75 × 15,756.75
  4. Step 4: Simplify right side
    10,230.75x = 248,275,170.56
  5. Step 5: Solve for x
    x = 248,275,170.56/10,230.75
  6. Step 6: Final answer
    x = 24,267.54

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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.