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Finding the Third Proportional to 32,413 and 50,003

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Solution

The third proportional to 32,413 and 50,003 is: 77,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413 : 50,003 = 50,003 : x
  2. Step 2: Convert to fraction form
    32,413/50,003 = 50,003/x
  3. Step 3: Cross multiply
    32,413x = 50,003 × 50,003
  4. Step 4: Simplify right side
    32,413x = 2,500,300,009
  5. Step 5: Solve for x
    x = 2,500,300,009/32,413
  6. Step 6: Final answer
    x = 77,138.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.