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Finding the Third Proportional to 8,695.69 and 18,996.19

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Solution

The third proportional to 8,695.69 and 18,996.19 is: 41,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.69 : 18,996.19 = 18,996.19 : x
  2. Step 2: Convert to fraction form
    8,695.69/18,996.19 = 18,996.19/x
  3. Step 3: Cross multiply
    8,695.69x = 18,996.19 × 18,996.19
  4. Step 4: Simplify right side
    8,695.69x = 360,855,139.54
  5. Step 5: Solve for x
    x = 360,855,139.54/8,695.69
  6. Step 6: Final answer
    x = 41,498.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.