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Finding the Third Proportional to 7,079.91 and 15,524.16

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Solution

The third proportional to 7,079.91 and 15,524.16 is: 34,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.91 : 15,524.16 = 15,524.16 : x
  2. Step 2: Convert to fraction form
    7,079.91/15,524.16 = 15,524.16/x
  3. Step 3: Cross multiply
    7,079.91x = 15,524.16 × 15,524.16
  4. Step 4: Simplify right side
    7,079.91x = 240,999,427.27
  5. Step 5: Solve for x
    x = 240,999,427.27/7,079.91
  6. Step 6: Final answer
    x = 34,039.92

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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.