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Finding the Third Proportional to 6,311.81 and 9,901.69

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Solution

The third proportional to 6,311.81 and 9,901.69 is: 15,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.81 : 9,901.69 = 9,901.69 : x
  2. Step 2: Convert to fraction form
    6,311.81/9,901.69 = 9,901.69/x
  3. Step 3: Cross multiply
    6,311.81x = 9,901.69 × 9,901.69
  4. Step 4: Simplify right side
    6,311.81x = 98,043,415.35
  5. Step 5: Solve for x
    x = 98,043,415.35/6,311.81
  6. Step 6: Final answer
    x = 15,533.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.