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Finding the Third Proportional to 2,519.81 and 5,339.91

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Solution

The third proportional to 2,519.81 and 5,339.91 is: 11,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.81 : 5,339.91 = 5,339.91 : x
  2. Step 2: Convert to fraction form
    2,519.81/5,339.91 = 5,339.91/x
  3. Step 3: Cross multiply
    2,519.81x = 5,339.91 × 5,339.91
  4. Step 4: Simplify right side
    2,519.81x = 28,514,598.76
  5. Step 5: Solve for x
    x = 28,514,598.76/2,519.81
  6. Step 6: Final answer
    x = 11,316.16

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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.