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Finding the Third Proportional to 7,346.44 and 10,711.97

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Solution

The third proportional to 7,346.44 and 10,711.97 is: 15,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.44 : 10,711.97 = 10,711.97 : x
  2. Step 2: Convert to fraction form
    7,346.44/10,711.97 = 10,711.97/x
  3. Step 3: Cross multiply
    7,346.44x = 10,711.97 × 10,711.97
  4. Step 4: Simplify right side
    7,346.44x = 114,746,274.50
  5. Step 5: Solve for x
    x = 114,746,274.50/7,346.44
  6. Step 6: Final answer
    x = 15,619.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.