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Finding the Third Proportional to 32,788 and 72,000

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Solution

The third proportional to 32,788 and 72,000 is: 158,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788 : 72,000 = 72,000 : x
  2. Step 2: Convert to fraction form
    32,788/72,000 = 72,000/x
  3. Step 3: Cross multiply
    32,788x = 72,000 × 72,000
  4. Step 4: Simplify right side
    32,788x = 5,184,000,000
  5. Step 5: Solve for x
    x = 5,184,000,000/32,788
  6. Step 6: Final answer
    x = 158,106.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.