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Finding the Third Proportional to 12,895 and 28,220.50

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Solution

The third proportional to 12,895 and 28,220.50 is: 61,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895 : 28,220.50 = 28,220.50 : x
  2. Step 2: Convert to fraction form
    12,895/28,220.50 = 28,220.50/x
  3. Step 3: Cross multiply
    12,895x = 28,220.50 × 28,220.50
  4. Step 4: Simplify right side
    12,895x = 796,396,620.25
  5. Step 5: Solve for x
    x = 796,396,620.25/12,895
  6. Step 6: Final answer
    x = 61,760.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.