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Finding the Third Proportional to 8,832.38 and 12,378.38

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Solution

The third proportional to 8,832.38 and 12,378.38 is: 17,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.38 : 12,378.38 = 12,378.38 : x
  2. Step 2: Convert to fraction form
    8,832.38/12,378.38 = 12,378.38/x
  3. Step 3: Cross multiply
    8,832.38x = 12,378.38 × 12,378.38
  4. Step 4: Simplify right side
    8,832.38x = 153,224,167.64
  5. Step 5: Solve for x
    x = 153,224,167.64/8,832.38
  6. Step 6: Final answer
    x = 17,348.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.