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Finding the Third Proportional to 22,249.69 and 32,536.69

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Solution

The third proportional to 22,249.69 and 32,536.69 is: 47,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.69 : 32,536.69 = 32,536.69 : x
  2. Step 2: Convert to fraction form
    22,249.69/32,536.69 = 32,536.69/x
  3. Step 3: Cross multiply
    22,249.69x = 32,536.69 × 32,536.69
  4. Step 4: Simplify right side
    22,249.69x = 1,058,636,033.47
  5. Step 5: Solve for x
    x = 1,058,636,033.47/22,249.69
  6. Step 6: Final answer
    x = 47,579.82

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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.