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Finding the Third Proportional to 12,894.75 and 27,343.13

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Solution

The third proportional to 12,894.75 and 27,343.13 is: 57,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.75 : 27,343.13 = 27,343.13 : x
  2. Step 2: Convert to fraction form
    12,894.75/27,343.13 = 27,343.13/x
  3. Step 3: Cross multiply
    12,894.75x = 27,343.13 × 27,343.13
  4. Step 4: Simplify right side
    12,894.75x = 747,646,484.77
  5. Step 5: Solve for x
    x = 747,646,484.77/12,894.75
  6. Step 6: Final answer
    x = 57,980.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.