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Finding the Third Proportional to 4,731.75 and 10,411.88

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Solution

The third proportional to 4,731.75 and 10,411.88 is: 22,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.75 : 10,411.88 = 10,411.88 : x
  2. Step 2: Convert to fraction form
    4,731.75/10,411.88 = 10,411.88/x
  3. Step 3: Cross multiply
    4,731.75x = 10,411.88 × 10,411.88
  4. Step 4: Simplify right side
    4,731.75x = 108,407,141.02
  5. Step 5: Solve for x
    x = 108,407,141.02/4,731.75
  6. Step 6: Final answer
    x = 22,910.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.