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Finding the Third Proportional to 32,338 and 48,546

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Solution

The third proportional to 32,338 and 48,546 is: 72,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338 : 48,546 = 48,546 : x
  2. Step 2: Convert to fraction form
    32,338/48,546 = 48,546/x
  3. Step 3: Cross multiply
    32,338x = 48,546 × 48,546
  4. Step 4: Simplify right side
    32,338x = 2,356,714,116
  5. Step 5: Solve for x
    x = 2,356,714,116/32,338
  6. Step 6: Final answer
    x = 72,877.55

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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.