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Finding the Third Proportional to 27,376 and 58,844

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Solution

The third proportional to 27,376 and 58,844 is: 126,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376 : 58,844 = 58,844 : x
  2. Step 2: Convert to fraction form
    27,376/58,844 = 58,844/x
  3. Step 3: Cross multiply
    27,376x = 58,844 × 58,844
  4. Step 4: Simplify right side
    27,376x = 3,462,616,336
  5. Step 5: Solve for x
    x = 3,462,616,336/27,376
  6. Step 6: Final answer
    x = 126,483.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.