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Finding the Third Proportional to 34,722 and 73,575

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Solution

The third proportional to 34,722 and 73,575 is: 155,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722 : 73,575 = 73,575 : x
  2. Step 2: Convert to fraction form
    34,722/73,575 = 73,575/x
  3. Step 3: Cross multiply
    34,722x = 73,575 × 73,575
  4. Step 4: Simplify right side
    34,722x = 5,413,280,625
  5. Step 5: Solve for x
    x = 5,413,280,625/34,722
  6. Step 6: Final answer
    x = 155,903.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.