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Finding the Third Proportional to 27,893 and 59,951

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Solution

The third proportional to 27,893 and 59,951 is: 128,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893 : 59,951 = 59,951 : x
  2. Step 2: Convert to fraction form
    27,893/59,951 = 59,951/x
  3. Step 3: Cross multiply
    27,893x = 59,951 × 59,951
  4. Step 4: Simplify right side
    27,893x = 3,594,122,401
  5. Step 5: Solve for x
    x = 3,594,122,401/27,893
  6. Step 6: Final answer
    x = 128,853.92

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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.