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Finding the Third Proportional to 48,014 and 72,684

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Solution

The third proportional to 48,014 and 72,684 is: 110,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,014 : 72,684 = 72,684 : x
  2. Step 2: Convert to fraction form
    48,014/72,684 = 72,684/x
  3. Step 3: Cross multiply
    48,014x = 72,684 × 72,684
  4. Step 4: Simplify right side
    48,014x = 5,282,963,856
  5. Step 5: Solve for x
    x = 5,282,963,856/48,014
  6. Step 6: Final answer
    x = 110,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.