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Finding the Third Proportional to 27,894 and 58,524

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Solution

The third proportional to 27,894 and 58,524 is: 122,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894 : 58,524 = 58,524 : x
  2. Step 2: Convert to fraction form
    27,894/58,524 = 58,524/x
  3. Step 3: Cross multiply
    27,894x = 58,524 × 58,524
  4. Step 4: Simplify right side
    27,894x = 3,425,058,576
  5. Step 5: Solve for x
    x = 3,425,058,576/27,894
  6. Step 6: Final answer
    x = 122,788.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.