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Finding the Third Proportional to 30,710 and 48,963

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Solution

The third proportional to 30,710 and 48,963 is: 78,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 48,963 = 48,963 : x
  2. Step 2: Convert to fraction form
    30,710/48,963 = 48,963/x
  3. Step 3: Cross multiply
    30,710x = 48,963 × 48,963
  4. Step 4: Simplify right side
    30,710x = 2,397,375,369
  5. Step 5: Solve for x
    x = 2,397,375,369/30,710
  6. Step 6: Final answer
    x = 78,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.