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Finding the Third Proportional to 34,722 and 54,133.50

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Solution

The third proportional to 34,722 and 54,133.50 is: 84,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722 : 54,133.50 = 54,133.50 : x
  2. Step 2: Convert to fraction form
    34,722/54,133.50 = 54,133.50/x
  3. Step 3: Cross multiply
    34,722x = 54,133.50 × 54,133.50
  4. Step 4: Simplify right side
    34,722x = 2,930,435,822.25
  5. Step 5: Solve for x
    x = 2,930,435,822.25/34,722
  6. Step 6: Final answer
    x = 84,397.09

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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.