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Finding the Third Proportional to 6,535.69 and 10,011.09

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Solution

The third proportional to 6,535.69 and 10,011.09 is: 15,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.69 : 10,011.09 = 10,011.09 : x
  2. Step 2: Convert to fraction form
    6,535.69/10,011.09 = 10,011.09/x
  3. Step 3: Cross multiply
    6,535.69x = 10,011.09 × 10,011.09
  4. Step 4: Simplify right side
    6,535.69x = 100,221,998.07
  5. Step 5: Solve for x
    x = 100,221,998.07/6,535.69
  6. Step 6: Final answer
    x = 15,334.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.