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Finding the Third Proportional to 8,383.50 and 13,034

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Solution

The third proportional to 8,383.50 and 13,034 is: 20,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.50 : 13,034 = 13,034 : x
  2. Step 2: Convert to fraction form
    8,383.50/13,034 = 13,034/x
  3. Step 3: Cross multiply
    8,383.50x = 13,034 × 13,034
  4. Step 4: Simplify right side
    8,383.50x = 169,885,156
  5. Step 5: Solve for x
    x = 169,885,156/8,383.50
  6. Step 6: Final answer
    x = 20,264.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.