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Finding the Third Proportional to 24,744 and 54,528

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Solution

The third proportional to 24,744 and 54,528 is: 120,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744 : 54,528 = 54,528 : x
  2. Step 2: Convert to fraction form
    24,744/54,528 = 54,528/x
  3. Step 3: Cross multiply
    24,744x = 54,528 × 54,528
  4. Step 4: Simplify right side
    24,744x = 2,973,302,784
  5. Step 5: Solve for x
    x = 2,973,302,784/24,744
  6. Step 6: Final answer
    x = 120,162.58

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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.