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Finding the Third Proportional to 27,731 and 60,646

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Solution

The third proportional to 27,731 and 60,646 is: 132,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731 : 60,646 = 60,646 : x
  2. Step 2: Convert to fraction form
    27,731/60,646 = 60,646/x
  3. Step 3: Cross multiply
    27,731x = 60,646 × 60,646
  4. Step 4: Simplify right side
    27,731x = 3,677,937,316
  5. Step 5: Solve for x
    x = 3,677,937,316/27,731
  6. Step 6: Final answer
    x = 132,629.09

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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.