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Finding the Third Proportional to 12,981.75 and 28,026.75

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Solution

The third proportional to 12,981.75 and 28,026.75 is: 60,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.75 : 28,026.75 = 28,026.75 : x
  2. Step 2: Convert to fraction form
    12,981.75/28,026.75 = 28,026.75/x
  3. Step 3: Cross multiply
    12,981.75x = 28,026.75 × 28,026.75
  4. Step 4: Simplify right side
    12,981.75x = 785,498,715.56
  5. Step 5: Solve for x
    x = 785,498,715.56/12,981.75
  6. Step 6: Final answer
    x = 60,507.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.