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Finding the Third Proportional to 7,176.38 and 15,221.63

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Solution

The third proportional to 7,176.38 and 15,221.63 is: 32,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.38 : 15,221.63 = 15,221.63 : x
  2. Step 2: Convert to fraction form
    7,176.38/15,221.63 = 15,221.63/x
  3. Step 3: Cross multiply
    7,176.38x = 15,221.63 × 15,221.63
  4. Step 4: Simplify right side
    7,176.38x = 231,697,867.64
  5. Step 5: Solve for x
    x = 231,697,867.64/7,176.38
  6. Step 6: Final answer
    x = 32,286.20

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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.