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Finding the Third Proportional to 48,642 and 73,014

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Solution

The third proportional to 48,642 and 73,014 is: 109,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 73,014 = 73,014 : x
  2. Step 2: Convert to fraction form
    48,642/73,014 = 73,014/x
  3. Step 3: Cross multiply
    48,642x = 73,014 × 73,014
  4. Step 4: Simplify right side
    48,642x = 5,331,044,196
  5. Step 5: Solve for x
    x = 5,331,044,196/48,642
  6. Step 6: Final answer
    x = 109,597.55

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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.