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Finding the Third Proportional to 9,246.38 and 19,922.63

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Solution

The third proportional to 9,246.38 and 19,922.63 is: 42,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.38 : 19,922.63 = 19,922.63 : x
  2. Step 2: Convert to fraction form
    9,246.38/19,922.63 = 19,922.63/x
  3. Step 3: Cross multiply
    9,246.38x = 19,922.63 × 19,922.63
  4. Step 4: Simplify right side
    9,246.38x = 396,910,986.89
  5. Step 5: Solve for x
    x = 396,910,986.89/9,246.38
  6. Step 6: Final answer
    x = 42,926.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.