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Finding the Third Proportional to 12,376.13 and 24,139.69

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Solution

The third proportional to 12,376.13 and 24,139.69 is: 47,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.13 : 24,139.69 = 24,139.69 : x
  2. Step 2: Convert to fraction form
    12,376.13/24,139.69 = 24,139.69/x
  3. Step 3: Cross multiply
    12,376.13x = 24,139.69 × 24,139.69
  4. Step 4: Simplify right side
    12,376.13x = 582,724,512.60
  5. Step 5: Solve for x
    x = 582,724,512.60/12,376.13
  6. Step 6: Final answer
    x = 47,084.57

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.