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Finding the Third Proportional to 28,702 and 43,660.50

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Solution

The third proportional to 28,702 and 43,660.50 is: 66,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702 : 43,660.50 = 43,660.50 : x
  2. Step 2: Convert to fraction form
    28,702/43,660.50 = 43,660.50/x
  3. Step 3: Cross multiply
    28,702x = 43,660.50 × 43,660.50
  4. Step 4: Simplify right side
    28,702x = 1,906,239,260.25
  5. Step 5: Solve for x
    x = 1,906,239,260.25/28,702
  6. Step 6: Final answer
    x = 66,414.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.