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Finding the Third Proportional to 4,826.53 and 10,575.66

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Solution

The third proportional to 4,826.53 and 10,575.66 is: 23,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.53 : 10,575.66 = 10,575.66 : x
  2. Step 2: Convert to fraction form
    4,826.53/10,575.66 = 10,575.66/x
  3. Step 3: Cross multiply
    4,826.53x = 10,575.66 × 10,575.66
  4. Step 4: Simplify right side
    4,826.53x = 111,844,505.12
  5. Step 5: Solve for x
    x = 111,844,505.12/4,826.53
  6. Step 6: Final answer
    x = 23,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.