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Finding the Third Proportional to 27,488 and 61,294

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Solution

The third proportional to 27,488 and 61,294 is: 136,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488 : 61,294 = 61,294 : x
  2. Step 2: Convert to fraction form
    27,488/61,294 = 61,294/x
  3. Step 3: Cross multiply
    27,488x = 61,294 × 61,294
  4. Step 4: Simplify right side
    27,488x = 3,756,954,436
  5. Step 5: Solve for x
    x = 3,756,954,436/27,488
  6. Step 6: Final answer
    x = 136,676.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.