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Finding the Third Proportional to 28,917 and 72,967.50

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Solution

The third proportional to 28,917 and 72,967.50 is: 184,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,917 : 72,967.50 = 72,967.50 : x
  2. Step 2: Convert to fraction form
    28,917/72,967.50 = 72,967.50/x
  3. Step 3: Cross multiply
    28,917x = 72,967.50 × 72,967.50
  4. Step 4: Simplify right side
    28,917x = 5,324,256,056.25
  5. Step 5: Solve for x
    x = 5,324,256,056.25/28,917
  6. Step 6: Final answer
    x = 184,122.01

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These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.