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Finding the Third Proportional to 21,034.69 and 32,162.06

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Solution

The third proportional to 21,034.69 and 32,162.06 is: 49,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.69 : 32,162.06 = 32,162.06 : x
  2. Step 2: Convert to fraction form
    21,034.69/32,162.06 = 32,162.06/x
  3. Step 3: Cross multiply
    21,034.69x = 32,162.06 × 32,162.06
  4. Step 4: Simplify right side
    21,034.69x = 1,034,398,264.25
  5. Step 5: Solve for x
    x = 1,034,398,264.25/21,034.69
  6. Step 6: Final answer
    x = 49,175.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.