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Finding the Third Proportional to 27,913 and 57,789

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Solution

The third proportional to 27,913 and 57,789 is: 119,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913 : 57,789 = 57,789 : x
  2. Step 2: Convert to fraction form
    27,913/57,789 = 57,789/x
  3. Step 3: Cross multiply
    27,913x = 57,789 × 57,789
  4. Step 4: Simplify right side
    27,913x = 3,339,568,521
  5. Step 5: Solve for x
    x = 3,339,568,521/27,913
  6. Step 6: Final answer
    x = 119,642.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.