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Finding the Third Proportional to 9,436.50 and 20,509.88

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Solution

The third proportional to 9,436.50 and 20,509.88 is: 44,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.50 : 20,509.88 = 20,509.88 : x
  2. Step 2: Convert to fraction form
    9,436.50/20,509.88 = 20,509.88/x
  3. Step 3: Cross multiply
    9,436.50x = 20,509.88 × 20,509.88
  4. Step 4: Simplify right side
    9,436.50x = 420,654,972.52
  5. Step 5: Solve for x
    x = 420,654,972.52/9,436.50
  6. Step 6: Final answer
    x = 44,577.44

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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.