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Finding the Third Proportional to 12,877.50 and 28,214

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Solution

The third proportional to 12,877.50 and 28,214 is: 61,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.50 : 28,214 = 28,214 : x
  2. Step 2: Convert to fraction form
    12,877.50/28,214 = 28,214/x
  3. Step 3: Cross multiply
    12,877.50x = 28,214 × 28,214
  4. Step 4: Simplify right side
    12,877.50x = 796,029,796
  5. Step 5: Solve for x
    x = 796,029,796/12,877.50
  6. Step 6: Final answer
    x = 61,815.55

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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.