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Finding the Third Proportional to 4,326.75 and 10,378.13

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Solution

The third proportional to 4,326.75 and 10,378.13 is: 24,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.75 : 10,378.13 = 10,378.13 : x
  2. Step 2: Convert to fraction form
    4,326.75/10,378.13 = 10,378.13/x
  3. Step 3: Cross multiply
    4,326.75x = 10,378.13 × 10,378.13
  4. Step 4: Simplify right side
    4,326.75x = 107,705,478.52
  5. Step 5: Solve for x
    x = 107,705,478.52/4,326.75
  6. Step 6: Final answer
    x = 24,892.93

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.