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Finding the Third Proportional to 4,411.97 and 6,542.02

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Solution

The third proportional to 4,411.97 and 6,542.02 is: 9,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.97 : 6,542.02 = 6,542.02 : x
  2. Step 2: Convert to fraction form
    4,411.97/6,542.02 = 6,542.02/x
  3. Step 3: Cross multiply
    4,411.97x = 6,542.02 × 6,542.02
  4. Step 4: Simplify right side
    4,411.97x = 42,797,968.44
  5. Step 5: Solve for x
    x = 42,797,968.44/4,411.97
  6. Step 6: Final answer
    x = 9,700.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.