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Finding the Third Proportional to 27,894 and 58,128

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Solution

The third proportional to 27,894 and 58,128 is: 121,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894 : 58,128 = 58,128 : x
  2. Step 2: Convert to fraction form
    27,894/58,128 = 58,128/x
  3. Step 3: Cross multiply
    27,894x = 58,128 × 58,128
  4. Step 4: Simplify right side
    27,894x = 3,378,864,384
  5. Step 5: Solve for x
    x = 3,378,864,384/27,894
  6. Step 6: Final answer
    x = 121,132.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.