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Finding the Third Proportional to 4,411.38 and 6,602.65

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Solution

The third proportional to 4,411.38 and 6,602.65 is: 9,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.38 : 6,602.65 = 6,602.65 : x
  2. Step 2: Convert to fraction form
    4,411.38/6,602.65 = 6,602.65/x
  3. Step 3: Cross multiply
    4,411.38x = 6,602.65 × 6,602.65
  4. Step 4: Simplify right side
    4,411.38x = 43,594,947.05
  5. Step 5: Solve for x
    x = 43,594,947.05/4,411.38
  6. Step 6: Final answer
    x = 9,882.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.