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Finding the Third Proportional to 9,122.47 and 19,608.96

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Solution

The third proportional to 9,122.47 and 19,608.96 is: 42,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.47 : 19,608.96 = 19,608.96 : x
  2. Step 2: Convert to fraction form
    9,122.47/19,608.96 = 19,608.96/x
  3. Step 3: Cross multiply
    9,122.47x = 19,608.96 × 19,608.96
  4. Step 4: Simplify right side
    9,122.47x = 384,511,349.05
  5. Step 5: Solve for x
    x = 384,511,349.05/9,122.47
  6. Step 6: Final answer
    x = 42,149.93

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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.