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Finding the Third Proportional to 7,003.13 and 16,836.19

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Solution

The third proportional to 7,003.13 and 16,836.19 is: 40,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.13 : 16,836.19 = 16,836.19 : x
  2. Step 2: Convert to fraction form
    7,003.13/16,836.19 = 16,836.19/x
  3. Step 3: Cross multiply
    7,003.13x = 16,836.19 × 16,836.19
  4. Step 4: Simplify right side
    7,003.13x = 283,457,209.54
  5. Step 5: Solve for x
    x = 283,457,209.54/7,003.13
  6. Step 6: Final answer
    x = 40,475.82

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.