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Finding the Third Proportional to 8,144.30 and 12,341.74

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Solution

The third proportional to 8,144.30 and 12,341.74 is: 18,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 12,341.74 = 12,341.74 : x
  2. Step 2: Convert to fraction form
    8,144.30/12,341.74 = 12,341.74/x
  3. Step 3: Cross multiply
    8,144.30x = 12,341.74 × 12,341.74
  4. Step 4: Simplify right side
    8,144.30x = 152,318,600.22
  5. Step 5: Solve for x
    x = 152,318,600.22/8,144.30
  6. Step 6: Final answer
    x = 18,702.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.