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Finding the Third Proportional to 7,003.13 and 10,366.31

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Solution

The third proportional to 7,003.13 and 10,366.31 is: 15,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.13 : 10,366.31 = 10,366.31 : x
  2. Step 2: Convert to fraction form
    7,003.13/10,366.31 = 10,366.31/x
  3. Step 3: Cross multiply
    7,003.13x = 10,366.31 × 10,366.31
  4. Step 4: Simplify right side
    7,003.13x = 107,460,434.85
  5. Step 5: Solve for x
    x = 107,460,434.85/7,003.13
  6. Step 6: Final answer
    x = 15,344.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.