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Finding the Third Proportional to 7,071.75 and 11,134.13

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Solution

The third proportional to 7,071.75 and 11,134.13 is: 17,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.75 : 11,134.13 = 11,134.13 : x
  2. Step 2: Convert to fraction form
    7,071.75/11,134.13 = 11,134.13/x
  3. Step 3: Cross multiply
    7,071.75x = 11,134.13 × 11,134.13
  4. Step 4: Simplify right side
    7,071.75x = 123,968,739.52
  5. Step 5: Solve for x
    x = 123,968,739.52/7,071.75
  6. Step 6: Final answer
    x = 17,530.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.