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Finding the Third Proportional to 32,354 and 48,483

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Solution

The third proportional to 32,354 and 48,483 is: 72,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354 : 48,483 = 48,483 : x
  2. Step 2: Convert to fraction form
    32,354/48,483 = 48,483/x
  3. Step 3: Cross multiply
    32,354x = 48,483 × 48,483
  4. Step 4: Simplify right side
    32,354x = 2,350,601,289
  5. Step 5: Solve for x
    x = 2,350,601,289/32,354
  6. Step 6: Final answer
    x = 72,652.57

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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.