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Finding the Third Proportional to 4,731.86 and 9,463.71

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Solution

The third proportional to 4,731.86 and 9,463.71 is: 18,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.86 : 9,463.71 = 9,463.71 : x
  2. Step 2: Convert to fraction form
    4,731.86/9,463.71 = 9,463.71/x
  3. Step 3: Cross multiply
    4,731.86x = 9,463.71 × 9,463.71
  4. Step 4: Simplify right side
    4,731.86x = 89,561,824.71
  5. Step 5: Solve for x
    x = 89,561,824.71/4,731.86
  6. Step 6: Final answer
    x = 18,927.42

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These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.