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Finding the Third Proportional to 24,544 and 52,972

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Solution

The third proportional to 24,544 and 52,972 is: 114,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544 : 52,972 = 52,972 : x
  2. Step 2: Convert to fraction form
    24,544/52,972 = 52,972/x
  3. Step 3: Cross multiply
    24,544x = 52,972 × 52,972
  4. Step 4: Simplify right side
    24,544x = 2,806,032,784
  5. Step 5: Solve for x
    x = 2,806,032,784/24,544
  6. Step 6: Final answer
    x = 114,326.63

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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.