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Finding the Third Proportional to 22,869 and 32,035.50

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Solution

The third proportional to 22,869 and 32,035.50 is: 44,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869 : 32,035.50 = 32,035.50 : x
  2. Step 2: Convert to fraction form
    22,869/32,035.50 = 32,035.50/x
  3. Step 3: Cross multiply
    22,869x = 32,035.50 × 32,035.50
  4. Step 4: Simplify right side
    22,869x = 1,026,273,260.25
  5. Step 5: Solve for x
    x = 1,026,273,260.25/22,869
  6. Step 6: Final answer
    x = 44,876.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.