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Finding the Third Proportional to 32,900 and 50,888

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Solution

The third proportional to 32,900 and 50,888 is: 78,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900 : 50,888 = 50,888 : x
  2. Step 2: Convert to fraction form
    32,900/50,888 = 50,888/x
  3. Step 3: Cross multiply
    32,900x = 50,888 × 50,888
  4. Step 4: Simplify right side
    32,900x = 2,589,588,544
  5. Step 5: Solve for x
    x = 2,589,588,544/32,900
  6. Step 6: Final answer
    x = 78,710.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.