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Finding the Third Proportional to 32,286 and 48,462

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Solution

The third proportional to 32,286 and 48,462 is: 72,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 48,462 = 48,462 : x
  2. Step 2: Convert to fraction form
    32,286/48,462 = 48,462/x
  3. Step 3: Cross multiply
    32,286x = 48,462 × 48,462
  4. Step 4: Simplify right side
    32,286x = 2,348,565,444
  5. Step 5: Solve for x
    x = 2,348,565,444/32,286
  6. Step 6: Final answer
    x = 72,742.53

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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.