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Finding the Third Proportional to 3,385.69 and 4,528.69

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Solution

The third proportional to 3,385.69 and 4,528.69 is: 6,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.69 : 4,528.69 = 4,528.69 : x
  2. Step 2: Convert to fraction form
    3,385.69/4,528.69 = 4,528.69/x
  3. Step 3: Cross multiply
    3,385.69x = 4,528.69 × 4,528.69
  4. Step 4: Simplify right side
    3,385.69x = 20,509,010.47
  5. Step 5: Solve for x
    x = 20,509,010.47/3,385.69
  6. Step 6: Final answer
    x = 6,057.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.