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Finding the Third Proportional to 7,279.72 and 15,922.53

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Solution

The third proportional to 7,279.72 and 15,922.53 is: 34,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.72 : 15,922.53 = 15,922.53 : x
  2. Step 2: Convert to fraction form
    7,279.72/15,922.53 = 15,922.53/x
  3. Step 3: Cross multiply
    7,279.72x = 15,922.53 × 15,922.53
  4. Step 4: Simplify right side
    7,279.72x = 253,527,001.41
  5. Step 5: Solve for x
    x = 253,527,001.41/7,279.72
  6. Step 6: Final answer
    x = 34,826.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.