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Finding the Third Proportional to 21,176.50 and 45,092

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Solution

The third proportional to 21,176.50 and 45,092 is: 96,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.50 : 45,092 = 45,092 : x
  2. Step 2: Convert to fraction form
    21,176.50/45,092 = 45,092/x
  3. Step 3: Cross multiply
    21,176.50x = 45,092 × 45,092
  4. Step 4: Simplify right side
    21,176.50x = 2,033,288,464
  5. Step 5: Solve for x
    x = 2,033,288,464/21,176.50
  6. Step 6: Final answer
    x = 96,016.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.