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Finding the Third Proportional to 27,119 and 55,560

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Solution

The third proportional to 27,119 and 55,560 is: 113,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,119 : 55,560 = 55,560 : x
  2. Step 2: Convert to fraction form
    27,119/55,560 = 55,560/x
  3. Step 3: Cross multiply
    27,119x = 55,560 × 55,560
  4. Step 4: Simplify right side
    27,119x = 3,086,913,600
  5. Step 5: Solve for x
    x = 3,086,913,600/27,119
  6. Step 6: Final answer
    x = 113,828.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.