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Finding the Third Proportional to 10,422 and 16,162.03

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Solution

The third proportional to 10,422 and 16,162.03 is: 25,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422 : 16,162.03 = 16,162.03 : x
  2. Step 2: Convert to fraction form
    10,422/16,162.03 = 16,162.03/x
  3. Step 3: Cross multiply
    10,422x = 16,162.03 × 16,162.03
  4. Step 4: Simplify right side
    10,422x = 261,211,254.13
  5. Step 5: Solve for x
    x = 261,211,254.13/10,422
  6. Step 6: Final answer
    x = 25,063.45

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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.