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Finding the Third Proportional to 23,921 and 32,837.50

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Solution

The third proportional to 23,921 and 32,837.50 is: 45,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921 : 32,837.50 = 32,837.50 : x
  2. Step 2: Convert to fraction form
    23,921/32,837.50 = 32,837.50/x
  3. Step 3: Cross multiply
    23,921x = 32,837.50 × 32,837.50
  4. Step 4: Simplify right side
    23,921x = 1,078,301,406.25
  5. Step 5: Solve for x
    x = 1,078,301,406.25/23,921
  6. Step 6: Final answer
    x = 45,077.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.