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Finding the Third Proportional to 24,243 and 32,739

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Solution

The third proportional to 24,243 and 32,739 is: 44,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 32,739 = 32,739 : x
  2. Step 2: Convert to fraction form
    24,243/32,739 = 32,739/x
  3. Step 3: Cross multiply
    24,243x = 32,739 × 32,739
  4. Step 4: Simplify right side
    24,243x = 1,071,842,121
  5. Step 5: Solve for x
    x = 1,071,842,121/24,243
  6. Step 6: Final answer
    x = 44,212.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.