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Finding the Third Proportional to 28,188 and 59,516

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Solution

The third proportional to 28,188 and 59,516 is: 125,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,188 : 59,516 = 59,516 : x
  2. Step 2: Convert to fraction form
    28,188/59,516 = 59,516/x
  3. Step 3: Cross multiply
    28,188x = 59,516 × 59,516
  4. Step 4: Simplify right side
    28,188x = 3,542,154,256
  5. Step 5: Solve for x
    x = 3,542,154,256/28,188
  6. Step 6: Final answer
    x = 125,661.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.