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Finding the Third Proportional to 22,241.25 and 34,638.75

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Solution

The third proportional to 22,241.25 and 34,638.75 is: 53,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.25 : 34,638.75 = 34,638.75 : x
  2. Step 2: Convert to fraction form
    22,241.25/34,638.75 = 34,638.75/x
  3. Step 3: Cross multiply
    22,241.25x = 34,638.75 × 34,638.75
  4. Step 4: Simplify right side
    22,241.25x = 1,199,843,001.56
  5. Step 5: Solve for x
    x = 1,199,843,001.56/22,241.25
  6. Step 6: Final answer
    x = 53,946.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.