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Finding the Third Proportional to 4,763.25 and 10,461.38

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Solution

The third proportional to 4,763.25 and 10,461.38 is: 22,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.25 : 10,461.38 = 10,461.38 : x
  2. Step 2: Convert to fraction form
    4,763.25/10,461.38 = 10,461.38/x
  3. Step 3: Cross multiply
    4,763.25x = 10,461.38 × 10,461.38
  4. Step 4: Simplify right side
    4,763.25x = 109,440,366.89
  5. Step 5: Solve for x
    x = 109,440,366.89/4,763.25
  6. Step 6: Final answer
    x = 22,975.99

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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.