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Finding the Third Proportional to 22,646.44 and 33,303.66

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Solution

The third proportional to 22,646.44 and 33,303.66 is: 48,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.44 : 33,303.66 = 33,303.66 : x
  2. Step 2: Convert to fraction form
    22,646.44/33,303.66 = 33,303.66/x
  3. Step 3: Cross multiply
    22,646.44x = 33,303.66 × 33,303.66
  4. Step 4: Simplify right side
    22,646.44x = 1,109,133,519.62
  5. Step 5: Solve for x
    x = 1,109,133,519.62/22,646.44
  6. Step 6: Final answer
    x = 48,976.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.