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Finding the Third Proportional to 5,189.06 and 11,188.13

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Solution

The third proportional to 5,189.06 and 11,188.13 is: 24,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.06 : 11,188.13 = 11,188.13 : x
  2. Step 2: Convert to fraction form
    5,189.06/11,188.13 = 11,188.13/x
  3. Step 3: Cross multiply
    5,189.06x = 11,188.13 × 11,188.13
  4. Step 4: Simplify right side
    5,189.06x = 125,174,141.02
  5. Step 5: Solve for x
    x = 125,174,141.02/5,189.06
  6. Step 6: Final answer
    x = 24,122.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.