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Finding the Third Proportional to 27,392 and 58,656

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Solution

The third proportional to 27,392 and 58,656 is: 125,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392 : 58,656 = 58,656 : x
  2. Step 2: Convert to fraction form
    27,392/58,656 = 58,656/x
  3. Step 3: Cross multiply
    27,392x = 58,656 × 58,656
  4. Step 4: Simplify right side
    27,392x = 3,440,526,336
  5. Step 5: Solve for x
    x = 3,440,526,336/27,392
  6. Step 6: Final answer
    x = 125,603.33

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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.