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Finding the Third Proportional to 8,518.50 and 18,066.38

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Solution

The third proportional to 8,518.50 and 18,066.38 is: 38,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.50 : 18,066.38 = 18,066.38 : x
  2. Step 2: Convert to fraction form
    8,518.50/18,066.38 = 18,066.38/x
  3. Step 3: Cross multiply
    8,518.50x = 18,066.38 × 18,066.38
  4. Step 4: Simplify right side
    8,518.50x = 326,393,905.64
  5. Step 5: Solve for x
    x = 326,393,905.64/8,518.50
  6. Step 6: Final answer
    x = 38,315.89

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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.