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Finding the Third Proportional to 24,703 and 53,267

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Solution

The third proportional to 24,703 and 53,267 is: 114,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703 : 53,267 = 53,267 : x
  2. Step 2: Convert to fraction form
    24,703/53,267 = 53,267/x
  3. Step 3: Cross multiply
    24,703x = 53,267 × 53,267
  4. Step 4: Simplify right side
    24,703x = 2,837,373,289
  5. Step 5: Solve for x
    x = 2,837,373,289/24,703
  6. Step 6: Final answer
    x = 114,859.46

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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.