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Finding the Third Proportional to 6,943.50 and 15,119.50

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Solution

The third proportional to 6,943.50 and 15,119.50 is: 32,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.50 : 15,119.50 = 15,119.50 : x
  2. Step 2: Convert to fraction form
    6,943.50/15,119.50 = 15,119.50/x
  3. Step 3: Cross multiply
    6,943.50x = 15,119.50 × 15,119.50
  4. Step 4: Simplify right side
    6,943.50x = 228,599,280.25
  5. Step 5: Solve for x
    x = 228,599,280.25/6,943.50
  6. Step 6: Final answer
    x = 32,922.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.