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Finding the Third Proportional to 32,698 and 50,722

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Solution

The third proportional to 32,698 and 50,722 is: 78,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698 : 50,722 = 50,722 : x
  2. Step 2: Convert to fraction form
    32,698/50,722 = 50,722/x
  3. Step 3: Cross multiply
    32,698x = 50,722 × 50,722
  4. Step 4: Simplify right side
    32,698x = 2,572,721,284
  5. Step 5: Solve for x
    x = 2,572,721,284/32,698
  6. Step 6: Final answer
    x = 78,681.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.