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Finding the Third Proportional to 7,257.69 and 10,606.45

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Solution

The third proportional to 7,257.69 and 10,606.45 is: 15,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.69 : 10,606.45 = 10,606.45 : x
  2. Step 2: Convert to fraction form
    7,257.69/10,606.45 = 10,606.45/x
  3. Step 3: Cross multiply
    7,257.69x = 10,606.45 × 10,606.45
  4. Step 4: Simplify right side
    7,257.69x = 112,496,816.82
  5. Step 5: Solve for x
    x = 112,496,816.82/7,257.69
  6. Step 6: Final answer
    x = 15,500.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.