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Finding the Third Proportional to 4,152.09 and 6,436.97

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Solution

The third proportional to 4,152.09 and 6,436.97 is: 9,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.09 : 6,436.97 = 6,436.97 : x
  2. Step 2: Convert to fraction form
    4,152.09/6,436.97 = 6,436.97/x
  3. Step 3: Cross multiply
    4,152.09x = 6,436.97 × 6,436.97
  4. Step 4: Simplify right side
    4,152.09x = 41,434,566.69
  5. Step 5: Solve for x
    x = 41,434,566.69/4,152.09
  6. Step 6: Final answer
    x = 9,979.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.