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Finding the Third Proportional to 11,086.50 and 12,301.50

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Solution

The third proportional to 11,086.50 and 12,301.50 is: 13,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.50 : 12,301.50 = 12,301.50 : x
  2. Step 2: Convert to fraction form
    11,086.50/12,301.50 = 12,301.50/x
  3. Step 3: Cross multiply
    11,086.50x = 12,301.50 × 12,301.50
  4. Step 4: Simplify right side
    11,086.50x = 151,326,902.25
  5. Step 5: Solve for x
    x = 151,326,902.25/11,086.50
  6. Step 6: Final answer
    x = 13,649.66

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.