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Finding the Third Proportional to 48,596 and 72,932

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Solution

The third proportional to 48,596 and 72,932 is: 109,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596 : 72,932 = 72,932 : x
  2. Step 2: Convert to fraction form
    48,596/72,932 = 72,932/x
  3. Step 3: Cross multiply
    48,596x = 72,932 × 72,932
  4. Step 4: Simplify right side
    48,596x = 5,319,076,624
  5. Step 5: Solve for x
    x = 5,319,076,624/48,596
  6. Step 6: Final answer
    x = 109,455.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.