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Finding the Third Proportional to 7,322.06 and 16,282.69

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Solution

The third proportional to 7,322.06 and 16,282.69 is: 36,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.06 : 16,282.69 = 16,282.69 : x
  2. Step 2: Convert to fraction form
    7,322.06/16,282.69 = 16,282.69/x
  3. Step 3: Cross multiply
    7,322.06x = 16,282.69 × 16,282.69
  4. Step 4: Simplify right side
    7,322.06x = 265,125,912.22
  5. Step 5: Solve for x
    x = 265,125,912.22/7,322.06
  6. Step 6: Final answer
    x = 36,209.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.