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Finding the Third Proportional to 7,860 and 12,063.38

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Solution

The third proportional to 7,860 and 12,063.38 is: 18,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 12,063.38 = 12,063.38 : x
  2. Step 2: Convert to fraction form
    7,860/12,063.38 = 12,063.38/x
  3. Step 3: Cross multiply
    7,860x = 12,063.38 × 12,063.38
  4. Step 4: Simplify right side
    7,860x = 145,525,016.39
  5. Step 5: Solve for x
    x = 145,525,016.39/7,860
  6. Step 6: Final answer
    x = 18,514.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.