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Finding the Third Proportional to 24,312 and 52,801

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Solution

The third proportional to 24,312 and 52,801 is: 114,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 52,801 = 52,801 : x
  2. Step 2: Convert to fraction form
    24,312/52,801 = 52,801/x
  3. Step 3: Cross multiply
    24,312x = 52,801 × 52,801
  4. Step 4: Simplify right side
    24,312x = 2,787,945,601
  5. Step 5: Solve for x
    x = 2,787,945,601/24,312
  6. Step 6: Final answer
    x = 114,673.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.