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Finding the Third Proportional to 2,926.69 and 5,203.69

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Solution

The third proportional to 2,926.69 and 5,203.69 is: 9,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.69 : 5,203.69 = 5,203.69 : x
  2. Step 2: Convert to fraction form
    2,926.69/5,203.69 = 5,203.69/x
  3. Step 3: Cross multiply
    2,926.69x = 5,203.69 × 5,203.69
  4. Step 4: Simplify right side
    2,926.69x = 27,078,363.60
  5. Step 5: Solve for x
    x = 27,078,363.60/2,926.69
  6. Step 6: Final answer
    x = 9,252.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.