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Finding the Third Proportional to 32,609 and 48,986

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Solution

The third proportional to 32,609 and 48,986 is: 73,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609 : 48,986 = 48,986 : x
  2. Step 2: Convert to fraction form
    32,609/48,986 = 48,986/x
  3. Step 3: Cross multiply
    32,609x = 48,986 × 48,986
  4. Step 4: Simplify right side
    32,609x = 2,399,628,196
  5. Step 5: Solve for x
    x = 2,399,628,196/32,609
  6. Step 6: Final answer
    x = 73,587.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.