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Finding the Third Proportional to 8,582.88 and 18,088.38

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Solution

The third proportional to 8,582.88 and 18,088.38 is: 38,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.88 : 18,088.38 = 18,088.38 : x
  2. Step 2: Convert to fraction form
    8,582.88/18,088.38 = 18,088.38/x
  3. Step 3: Cross multiply
    8,582.88x = 18,088.38 × 18,088.38
  4. Step 4: Simplify right side
    8,582.88x = 327,189,310.14
  5. Step 5: Solve for x
    x = 327,189,310.14/8,582.88
  6. Step 6: Final answer
    x = 38,121.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.