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Finding the Third Proportional to 6,500.81 and 9,296.25

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Solution

The third proportional to 6,500.81 and 9,296.25 is: 13,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.81 : 9,296.25 = 9,296.25 : x
  2. Step 2: Convert to fraction form
    6,500.81/9,296.25 = 9,296.25/x
  3. Step 3: Cross multiply
    6,500.81x = 9,296.25 × 9,296.25
  4. Step 4: Simplify right side
    6,500.81x = 86,420,264.06
  5. Step 5: Solve for x
    x = 86,420,264.06/6,500.81
  6. Step 6: Final answer
    x = 13,293.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.