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Finding the Third Proportional to 23,798 and 52,378

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Solution

The third proportional to 23,798 and 52,378 is: 115,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 52,378 = 52,378 : x
  2. Step 2: Convert to fraction form
    23,798/52,378 = 52,378/x
  3. Step 3: Cross multiply
    23,798x = 52,378 × 52,378
  4. Step 4: Simplify right side
    23,798x = 2,743,454,884
  5. Step 5: Solve for x
    x = 2,743,454,884/23,798
  6. Step 6: Final answer
    x = 115,280.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.