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Finding the Third Proportional to 19,831.50 and 32,670

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Solution

The third proportional to 19,831.50 and 32,670 is: 53,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.50 : 32,670 = 32,670 : x
  2. Step 2: Convert to fraction form
    19,831.50/32,670 = 32,670/x
  3. Step 3: Cross multiply
    19,831.50x = 32,670 × 32,670
  4. Step 4: Simplify right side
    19,831.50x = 1,067,328,900
  5. Step 5: Solve for x
    x = 1,067,328,900/19,831.50
  6. Step 6: Final answer
    x = 53,819.88

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.