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Finding the Third Proportional to 28,516 and 63,350

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Solution

The third proportional to 28,516 and 63,350 is: 140,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,516 : 63,350 = 63,350 : x
  2. Step 2: Convert to fraction form
    28,516/63,350 = 63,350/x
  3. Step 3: Cross multiply
    28,516x = 63,350 × 63,350
  4. Step 4: Simplify right side
    28,516x = 4,013,222,500
  5. Step 5: Solve for x
    x = 4,013,222,500/28,516
  6. Step 6: Final answer
    x = 140,735.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.