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Finding the Third Proportional to 32,180 and 50,010

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Solution

The third proportional to 32,180 and 50,010 is: 77,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180 : 50,010 = 50,010 : x
  2. Step 2: Convert to fraction form
    32,180/50,010 = 50,010/x
  3. Step 3: Cross multiply
    32,180x = 50,010 × 50,010
  4. Step 4: Simplify right side
    32,180x = 2,501,000,100
  5. Step 5: Solve for x
    x = 2,501,000,100/32,180
  6. Step 6: Final answer
    x = 77,719.08

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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.