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Finding the Third Proportional to 21,193.88 and 32,765

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Solution

The third proportional to 21,193.88 and 32,765 is: 50,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.88 : 32,765 = 32,765 : x
  2. Step 2: Convert to fraction form
    21,193.88/32,765 = 32,765/x
  3. Step 3: Cross multiply
    21,193.88x = 32,765 × 32,765
  4. Step 4: Simplify right side
    21,193.88x = 1,073,545,225
  5. Step 5: Solve for x
    x = 1,073,545,225/21,193.88
  6. Step 6: Final answer
    x = 50,653.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.