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Finding the Third Proportional to 8,386.03 and 17,770.22

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Solution

The third proportional to 8,386.03 and 17,770.22 is: 37,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.03 : 17,770.22 = 17,770.22 : x
  2. Step 2: Convert to fraction form
    8,386.03/17,770.22 = 17,770.22/x
  3. Step 3: Cross multiply
    8,386.03x = 17,770.22 × 17,770.22
  4. Step 4: Simplify right side
    8,386.03x = 315,780,674.42
  5. Step 5: Solve for x
    x = 315,780,674.42/8,386.03
  6. Step 6: Final answer
    x = 37,655.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.