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Finding the Third Proportional to 9,509.25 and 19,306.50

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Solution

The third proportional to 9,509.25 and 19,306.50 is: 39,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.25 : 19,306.50 = 19,306.50 : x
  2. Step 2: Convert to fraction form
    9,509.25/19,306.50 = 19,306.50/x
  3. Step 3: Cross multiply
    9,509.25x = 19,306.50 × 19,306.50
  4. Step 4: Simplify right side
    9,509.25x = 372,740,942.25
  5. Step 5: Solve for x
    x = 372,740,942.25/9,509.25
  6. Step 6: Final answer
    x = 39,197.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.