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Finding the Third Proportional to 7,049.25 and 11,219.63

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Solution

The third proportional to 7,049.25 and 11,219.63 is: 17,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.25 : 11,219.63 = 11,219.63 : x
  2. Step 2: Convert to fraction form
    7,049.25/11,219.63 = 11,219.63/x
  3. Step 3: Cross multiply
    7,049.25x = 11,219.63 × 11,219.63
  4. Step 4: Simplify right side
    7,049.25x = 125,879,985.14
  5. Step 5: Solve for x
    x = 125,879,985.14/7,049.25
  6. Step 6: Final answer
    x = 17,857.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.