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Finding the Third Proportional to 21,349 and 32,092.25

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Solution

The third proportional to 21,349 and 32,092.25 is: 48,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349 : 32,092.25 = 32,092.25 : x
  2. Step 2: Convert to fraction form
    21,349/32,092.25 = 32,092.25/x
  3. Step 3: Cross multiply
    21,349x = 32,092.25 × 32,092.25
  4. Step 4: Simplify right side
    21,349x = 1,029,912,510.06
  5. Step 5: Solve for x
    x = 1,029,912,510.06/21,349
  6. Step 6: Final answer
    x = 48,241.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.