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Finding the Third Proportional to 11,074 and 24,308

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Solution

The third proportional to 11,074 and 24,308 is: 53,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 24,308 = 24,308 : x
  2. Step 2: Convert to fraction form
    11,074/24,308 = 24,308/x
  3. Step 3: Cross multiply
    11,074x = 24,308 × 24,308
  4. Step 4: Simplify right side
    11,074x = 590,878,864
  5. Step 5: Solve for x
    x = 590,878,864/11,074
  6. Step 6: Final answer
    x = 53,357.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.