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Finding the Third Proportional to 7,524 and 15,077

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Solution

The third proportional to 7,524 and 15,077 is: 30,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 15,077 = 15,077 : x
  2. Step 2: Convert to fraction form
    7,524/15,077 = 15,077/x
  3. Step 3: Cross multiply
    7,524x = 15,077 × 15,077
  4. Step 4: Simplify right side
    7,524x = 227,315,929
  5. Step 5: Solve for x
    x = 227,315,929/7,524
  6. Step 6: Final answer
    x = 30,212.11

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.