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Finding the Third Proportional to 9,697.50 and 20,394

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Solution

The third proportional to 9,697.50 and 20,394 is: 42,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.50 : 20,394 = 20,394 : x
  2. Step 2: Convert to fraction form
    9,697.50/20,394 = 20,394/x
  3. Step 3: Cross multiply
    9,697.50x = 20,394 × 20,394
  4. Step 4: Simplify right side
    9,697.50x = 415,915,236
  5. Step 5: Solve for x
    x = 415,915,236/9,697.50
  6. Step 6: Final answer
    x = 42,888.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.