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Finding the Third Proportional to 47,593.50 and 101,928

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Solution

The third proportional to 47,593.50 and 101,928 is: 218,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,593.50 : 101,928 = 101,928 : x
  2. Step 2: Convert to fraction form
    47,593.50/101,928 = 101,928/x
  3. Step 3: Cross multiply
    47,593.50x = 101,928 × 101,928
  4. Step 4: Simplify right side
    47,593.50x = 10,389,317,184
  5. Step 5: Solve for x
    x = 10,389,317,184/47,593.50
  6. Step 6: Final answer
    x = 218,292.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.