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Finding the Third Proportional to 20,890 and 49,295.50

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Solution

The third proportional to 20,890 and 49,295.50 is: 116,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890 : 49,295.50 = 49,295.50 : x
  2. Step 2: Convert to fraction form
    20,890/49,295.50 = 49,295.50/x
  3. Step 3: Cross multiply
    20,890x = 49,295.50 × 49,295.50
  4. Step 4: Simplify right side
    20,890x = 2,430,046,320.25
  5. Step 5: Solve for x
    x = 2,430,046,320.25/20,890
  6. Step 6: Final answer
    x = 116,325.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.