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Finding the Third Proportional to 4,841.02 and 5,357.39

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Solution

The third proportional to 4,841.02 and 5,357.39 is: 5,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.02 : 5,357.39 = 5,357.39 : x
  2. Step 2: Convert to fraction form
    4,841.02/5,357.39 = 5,357.39/x
  3. Step 3: Cross multiply
    4,841.02x = 5,357.39 × 5,357.39
  4. Step 4: Simplify right side
    4,841.02x = 28,701,634.31
  5. Step 5: Solve for x
    x = 28,701,634.31/4,841.02
  6. Step 6: Final answer
    x = 5,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.