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Finding the Third Proportional to 8,246.81 and 18,031.36

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Solution

The third proportional to 8,246.81 and 18,031.36 is: 39,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.81 : 18,031.36 = 18,031.36 : x
  2. Step 2: Convert to fraction form
    8,246.81/18,031.36 = 18,031.36/x
  3. Step 3: Cross multiply
    8,246.81x = 18,031.36 × 18,031.36
  4. Step 4: Simplify right side
    8,246.81x = 325,129,920.91
  5. Step 5: Solve for x
    x = 325,129,920.91/8,246.81
  6. Step 6: Final answer
    x = 39,424.92

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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.