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Finding the Third Proportional to 7,176.52 and 15,221.67

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Solution

The third proportional to 7,176.52 and 15,221.67 is: 32,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.52 : 15,221.67 = 15,221.67 : x
  2. Step 2: Convert to fraction form
    7,176.52/15,221.67 = 15,221.67/x
  3. Step 3: Cross multiply
    7,176.52x = 15,221.67 × 15,221.67
  4. Step 4: Simplify right side
    7,176.52x = 231,699,294.67
  5. Step 5: Solve for x
    x = 231,699,294.67/7,176.52
  6. Step 6: Final answer
    x = 32,285.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.