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Finding the Third Proportional to 28,734.75 and 38,409.19

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Solution

The third proportional to 28,734.75 and 38,409.19 is: 51,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734.75 : 38,409.19 = 38,409.19 : x
  2. Step 2: Convert to fraction form
    28,734.75/38,409.19 = 38,409.19/x
  3. Step 3: Cross multiply
    28,734.75x = 38,409.19 × 38,409.19
  4. Step 4: Simplify right side
    28,734.75x = 1,475,265,684.41
  5. Step 5: Solve for x
    x = 1,475,265,684.41/28,734.75
  6. Step 6: Final answer
    x = 51,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.