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Finding the Third Proportional to 21,234 and 45,750

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Solution

The third proportional to 21,234 and 45,750 is: 98,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 45,750 = 45,750 : x
  2. Step 2: Convert to fraction form
    21,234/45,750 = 45,750/x
  3. Step 3: Cross multiply
    21,234x = 45,750 × 45,750
  4. Step 4: Simplify right side
    21,234x = 2,093,062,500
  5. Step 5: Solve for x
    x = 2,093,062,500/21,234
  6. Step 6: Final answer
    x = 98,571.28

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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.