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Finding the Third Proportional to 38,874 and 58,319

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Solution

The third proportional to 38,874 and 58,319 is: 87,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874 : 58,319 = 58,319 : x
  2. Step 2: Convert to fraction form
    38,874/58,319 = 58,319/x
  3. Step 3: Cross multiply
    38,874x = 58,319 × 58,319
  4. Step 4: Simplify right side
    38,874x = 3,401,105,761
  5. Step 5: Solve for x
    x = 3,401,105,761/38,874
  6. Step 6: Final answer
    x = 87,490.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.