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Finding the Third Proportional to 8,019 and 12,341.74

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Solution

The third proportional to 8,019 and 12,341.74 is: 18,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 12,341.74 = 12,341.74 : x
  2. Step 2: Convert to fraction form
    8,019/12,341.74 = 12,341.74/x
  3. Step 3: Cross multiply
    8,019x = 12,341.74 × 12,341.74
  4. Step 4: Simplify right side
    8,019x = 152,318,600.22
  5. Step 5: Solve for x
    x = 152,318,600.22/8,019
  6. Step 6: Final answer
    x = 18,994.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.