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Finding the Third Proportional to 7,484.25 and 12,473.44

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Solution

The third proportional to 7,484.25 and 12,473.44 is: 20,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.25 : 12,473.44 = 12,473.44 : x
  2. Step 2: Convert to fraction form
    7,484.25/12,473.44 = 12,473.44/x
  3. Step 3: Cross multiply
    7,484.25x = 12,473.44 × 12,473.44
  4. Step 4: Simplify right side
    7,484.25x = 155,586,643.07
  5. Step 5: Solve for x
    x = 155,586,643.07/7,484.25
  6. Step 6: Final answer
    x = 20,788.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.