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Finding the Third Proportional to 4,815.50 and 10,574.88

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Solution

The third proportional to 4,815.50 and 10,574.88 is: 23,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.50 : 10,574.88 = 10,574.88 : x
  2. Step 2: Convert to fraction form
    4,815.50/10,574.88 = 10,574.88/x
  3. Step 3: Cross multiply
    4,815.50x = 10,574.88 × 10,574.88
  4. Step 4: Simplify right side
    4,815.50x = 111,827,981.27
  5. Step 5: Solve for x
    x = 111,827,981.27/4,815.50
  6. Step 6: Final answer
    x = 23,222.51

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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.