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Finding the Third Proportional to 32,163 and 48,447

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Solution

The third proportional to 32,163 and 48,447 is: 72,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163 : 48,447 = 48,447 : x
  2. Step 2: Convert to fraction form
    32,163/48,447 = 48,447/x
  3. Step 3: Cross multiply
    32,163x = 48,447 × 48,447
  4. Step 4: Simplify right side
    32,163x = 2,347,111,809
  5. Step 5: Solve for x
    x = 2,347,111,809/32,163
  6. Step 6: Final answer
    x = 72,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.