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Finding the Third Proportional to 21,192 and 45,760

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Solution

The third proportional to 21,192 and 45,760 is: 98,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192 : 45,760 = 45,760 : x
  2. Step 2: Convert to fraction form
    21,192/45,760 = 45,760/x
  3. Step 3: Cross multiply
    21,192x = 45,760 × 45,760
  4. Step 4: Simplify right side
    21,192x = 2,093,977,600
  5. Step 5: Solve for x
    x = 2,093,977,600/21,192
  6. Step 6: Final answer
    x = 98,809.82

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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.