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Finding the Third Proportional to 23,776 and 51,392

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Solution

The third proportional to 23,776 and 51,392 is: 111,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 51,392 = 51,392 : x
  2. Step 2: Convert to fraction form
    23,776/51,392 = 51,392/x
  3. Step 3: Cross multiply
    23,776x = 51,392 × 51,392
  4. Step 4: Simplify right side
    23,776x = 2,641,137,664
  5. Step 5: Solve for x
    x = 2,641,137,664/23,776
  6. Step 6: Final answer
    x = 111,084.19

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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.