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Finding the Third Proportional to 28,863 and 49,639.50

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Solution

The third proportional to 28,863 and 49,639.50 is: 85,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,863 : 49,639.50 = 49,639.50 : x
  2. Step 2: Convert to fraction form
    28,863/49,639.50 = 49,639.50/x
  3. Step 3: Cross multiply
    28,863x = 49,639.50 × 49,639.50
  4. Step 4: Simplify right side
    28,863x = 2,464,079,960.25
  5. Step 5: Solve for x
    x = 2,464,079,960.25/28,863
  6. Step 6: Final answer
    x = 85,371.58

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.