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Finding the Third Proportional to 7,161.75 and 10,867.50

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Solution

The third proportional to 7,161.75 and 10,867.50 is: 16,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.75 : 10,867.50 = 10,867.50 : x
  2. Step 2: Convert to fraction form
    7,161.75/10,867.50 = 10,867.50/x
  3. Step 3: Cross multiply
    7,161.75x = 10,867.50 × 10,867.50
  4. Step 4: Simplify right side
    7,161.75x = 118,102,556.25
  5. Step 5: Solve for x
    x = 118,102,556.25/7,161.75
  6. Step 6: Final answer
    x = 16,490.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.