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Finding the Third Proportional to 15,957 and 32,697

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Solution

The third proportional to 15,957 and 32,697 is: 66,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 32,697 = 32,697 : x
  2. Step 2: Convert to fraction form
    15,957/32,697 = 32,697/x
  3. Step 3: Cross multiply
    15,957x = 32,697 × 32,697
  4. Step 4: Simplify right side
    15,957x = 1,069,093,809
  5. Step 5: Solve for x
    x = 1,069,093,809/15,957
  6. Step 6: Final answer
    x = 66,998.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.