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Finding the Third Proportional to 23,728 and 34,368

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Solution

The third proportional to 23,728 and 34,368 is: 49,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 34,368 = 34,368 : x
  2. Step 2: Convert to fraction form
    23,728/34,368 = 34,368/x
  3. Step 3: Cross multiply
    23,728x = 34,368 × 34,368
  4. Step 4: Simplify right side
    23,728x = 1,181,159,424
  5. Step 5: Solve for x
    x = 1,181,159,424/23,728
  6. Step 6: Final answer
    x = 49,779.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.