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Finding the Third Proportional to 24,238 and 52,296

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Solution

The third proportional to 24,238 and 52,296 is: 112,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238 : 52,296 = 52,296 : x
  2. Step 2: Convert to fraction form
    24,238/52,296 = 52,296/x
  3. Step 3: Cross multiply
    24,238x = 52,296 × 52,296
  4. Step 4: Simplify right side
    24,238x = 2,734,871,616
  5. Step 5: Solve for x
    x = 2,734,871,616/24,238
  6. Step 6: Final answer
    x = 112,834.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.