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Finding the Third Proportional to 48,005 and 72,668

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Solution

The third proportional to 48,005 and 72,668 is: 110,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,005 : 72,668 = 72,668 : x
  2. Step 2: Convert to fraction form
    48,005/72,668 = 72,668/x
  3. Step 3: Cross multiply
    48,005x = 72,668 × 72,668
  4. Step 4: Simplify right side
    48,005x = 5,280,638,224
  5. Step 5: Solve for x
    x = 5,280,638,224/48,005
  6. Step 6: Final answer
    x = 110,001.84

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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.