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Finding the Third Proportional to 11,994.75 and 26,253

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Solution

The third proportional to 11,994.75 and 26,253 is: 57,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.75 : 26,253 = 26,253 : x
  2. Step 2: Convert to fraction form
    11,994.75/26,253 = 26,253/x
  3. Step 3: Cross multiply
    11,994.75x = 26,253 × 26,253
  4. Step 4: Simplify right side
    11,994.75x = 689,220,009
  5. Step 5: Solve for x
    x = 689,220,009/11,994.75
  6. Step 6: Final answer
    x = 57,460.14

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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.