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Finding the Third Proportional to 4,982.06 and 7,816.22

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Solution

The third proportional to 4,982.06 and 7,816.22 is: 12,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.06 : 7,816.22 = 7,816.22 : x
  2. Step 2: Convert to fraction form
    4,982.06/7,816.22 = 7,816.22/x
  3. Step 3: Cross multiply
    4,982.06x = 7,816.22 × 7,816.22
  4. Step 4: Simplify right side
    4,982.06x = 61,093,275.55
  5. Step 5: Solve for x
    x = 61,093,275.55/4,982.06
  6. Step 6: Final answer
    x = 12,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.