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Finding the Third Proportional to 17,223.84 and 24,378.56

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Solution

The third proportional to 17,223.84 and 24,378.56 is: 34,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.84 : 24,378.56 = 24,378.56 : x
  2. Step 2: Convert to fraction form
    17,223.84/24,378.56 = 24,378.56/x
  3. Step 3: Cross multiply
    17,223.84x = 24,378.56 × 24,378.56
  4. Step 4: Simplify right side
    17,223.84x = 594,314,309.57
  5. Step 5: Solve for x
    x = 594,314,309.57/17,223.84
  6. Step 6: Final answer
    x = 34,505.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.