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Finding the Third Proportional to 27,982 and 44,307

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Solution

The third proportional to 27,982 and 44,307 is: 70,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 44,307 = 44,307 : x
  2. Step 2: Convert to fraction form
    27,982/44,307 = 44,307/x
  3. Step 3: Cross multiply
    27,982x = 44,307 × 44,307
  4. Step 4: Simplify right side
    27,982x = 1,963,110,249
  5. Step 5: Solve for x
    x = 1,963,110,249/27,982
  6. Step 6: Final answer
    x = 70,156.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.