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Finding the Third Proportional to 32,906 and 48,630

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Solution

The third proportional to 32,906 and 48,630 is: 71,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906 : 48,630 = 48,630 : x
  2. Step 2: Convert to fraction form
    32,906/48,630 = 48,630/x
  3. Step 3: Cross multiply
    32,906x = 48,630 × 48,630
  4. Step 4: Simplify right side
    32,906x = 2,364,876,900
  5. Step 5: Solve for x
    x = 2,364,876,900/32,906
  6. Step 6: Final answer
    x = 71,867.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.