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Finding the Third Proportional to 3,149.44 and 4,528.13

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Solution

The third proportional to 3,149.44 and 4,528.13 is: 6,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.44 : 4,528.13 = 4,528.13 : x
  2. Step 2: Convert to fraction form
    3,149.44/4,528.13 = 4,528.13/x
  3. Step 3: Cross multiply
    3,149.44x = 4,528.13 × 4,528.13
  4. Step 4: Simplify right side
    3,149.44x = 20,503,916.02
  5. Step 5: Solve for x
    x = 20,503,916.02/3,149.44
  6. Step 6: Final answer
    x = 6,510.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.