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Finding the Third Proportional to 32,477 and 39,562

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Solution

The third proportional to 32,477 and 39,562 is: 48,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477 : 39,562 = 39,562 : x
  2. Step 2: Convert to fraction form
    32,477/39,562 = 39,562/x
  3. Step 3: Cross multiply
    32,477x = 39,562 × 39,562
  4. Step 4: Simplify right side
    32,477x = 1,565,151,844
  5. Step 5: Solve for x
    x = 1,565,151,844/32,477
  6. Step 6: Final answer
    x = 48,192.62

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.