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Finding the Third Proportional to 27,053 and 57,841

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Solution

The third proportional to 27,053 and 57,841 is: 123,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053 : 57,841 = 57,841 : x
  2. Step 2: Convert to fraction form
    27,053/57,841 = 57,841/x
  3. Step 3: Cross multiply
    27,053x = 57,841 × 57,841
  4. Step 4: Simplify right side
    27,053x = 3,345,581,281
  5. Step 5: Solve for x
    x = 3,345,581,281/27,053
  6. Step 6: Final answer
    x = 123,667.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.