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Finding the Third Proportional to 22,415.81 and 33,580.31

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Solution

The third proportional to 22,415.81 and 33,580.31 is: 50,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.81 : 33,580.31 = 33,580.31 : x
  2. Step 2: Convert to fraction form
    22,415.81/33,580.31 = 33,580.31/x
  3. Step 3: Cross multiply
    22,415.81x = 33,580.31 × 33,580.31
  4. Step 4: Simplify right side
    22,415.81x = 1,127,637,387.60
  5. Step 5: Solve for x
    x = 1,127,637,387.60/22,415.81
  6. Step 6: Final answer
    x = 50,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.