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Finding the Third Proportional to 12,079.76 and 19,879.49

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Solution

The third proportional to 12,079.76 and 19,879.49 is: 32,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.76 : 19,879.49 = 19,879.49 : x
  2. Step 2: Convert to fraction form
    12,079.76/19,879.49 = 19,879.49/x
  3. Step 3: Cross multiply
    12,079.76x = 19,879.49 × 19,879.49
  4. Step 4: Simplify right side
    12,079.76x = 395,194,054.32
  5. Step 5: Solve for x
    x = 395,194,054.32/12,079.76
  6. Step 6: Final answer
    x = 32,715.40

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.