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Finding the Third Proportional to 4,470.38 and 5,293.88

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Solution

The third proportional to 4,470.38 and 5,293.88 is: 6,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.38 : 5,293.88 = 5,293.88 : x
  2. Step 2: Convert to fraction form
    4,470.38/5,293.88 = 5,293.88/x
  3. Step 3: Cross multiply
    4,470.38x = 5,293.88 × 5,293.88
  4. Step 4: Simplify right side
    4,470.38x = 28,025,112.52
  5. Step 5: Solve for x
    x = 28,025,112.52/4,470.38
  6. Step 6: Final answer
    x = 6,269.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.