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Finding the Third Proportional to 21,795.75 and 47,257.50

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Solution

The third proportional to 21,795.75 and 47,257.50 is: 102,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795.75 : 47,257.50 = 47,257.50 : x
  2. Step 2: Convert to fraction form
    21,795.75/47,257.50 = 47,257.50/x
  3. Step 3: Cross multiply
    21,795.75x = 47,257.50 × 47,257.50
  4. Step 4: Simplify right side
    21,795.75x = 2,233,271,306.25
  5. Step 5: Solve for x
    x = 2,233,271,306.25/21,795.75
  6. Step 6: Final answer
    x = 102,463.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.