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Finding the Third Proportional to 7,194.19 and 10,941.28

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Solution

The third proportional to 7,194.19 and 10,941.28 is: 16,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.19 : 10,941.28 = 10,941.28 : x
  2. Step 2: Convert to fraction form
    7,194.19/10,941.28 = 10,941.28/x
  3. Step 3: Cross multiply
    7,194.19x = 10,941.28 × 10,941.28
  4. Step 4: Simplify right side
    7,194.19x = 119,711,635.39
  5. Step 5: Solve for x
    x = 119,711,635.39/7,194.19
  6. Step 6: Final answer
    x = 16,640.05

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Why These Related Problems?

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