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Finding the Third Proportional to 7,161.75 and 15,117.75

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Solution

The third proportional to 7,161.75 and 15,117.75 is: 31,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.75 : 15,117.75 = 15,117.75 : x
  2. Step 2: Convert to fraction form
    7,161.75/15,117.75 = 15,117.75/x
  3. Step 3: Cross multiply
    7,161.75x = 15,117.75 × 15,117.75
  4. Step 4: Simplify right side
    7,161.75x = 228,546,365.06
  5. Step 5: Solve for x
    x = 228,546,365.06/7,161.75
  6. Step 6: Final answer
    x = 31,912.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.