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Finding the Third Proportional to 21,024 and 45,132.75

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Solution

The third proportional to 21,024 and 45,132.75 is: 96,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 45,132.75 = 45,132.75 : x
  2. Step 2: Convert to fraction form
    21,024/45,132.75 = 45,132.75/x
  3. Step 3: Cross multiply
    21,024x = 45,132.75 × 45,132.75
  4. Step 4: Simplify right side
    21,024x = 2,036,965,122.56
  5. Step 5: Solve for x
    x = 2,036,965,122.56/21,024
  6. Step 6: Final answer
    x = 96,887.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.