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Finding the Third Proportional to 2,320.45 and 5,079.52

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Solution

The third proportional to 2,320.45 and 5,079.52 is: 11,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.45 : 5,079.52 = 5,079.52 : x
  2. Step 2: Convert to fraction form
    2,320.45/5,079.52 = 5,079.52/x
  3. Step 3: Cross multiply
    2,320.45x = 5,079.52 × 5,079.52
  4. Step 4: Simplify right side
    2,320.45x = 25,801,478.98
  5. Step 5: Solve for x
    x = 25,801,478.98/2,320.45
  6. Step 6: Final answer
    x = 11,119.16

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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.