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Finding the Third Proportional to 30,061 and 44,241

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Solution

The third proportional to 30,061 and 44,241 is: 65,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,061 : 44,241 = 44,241 : x
  2. Step 2: Convert to fraction form
    30,061/44,241 = 44,241/x
  3. Step 3: Cross multiply
    30,061x = 44,241 × 44,241
  4. Step 4: Simplify right side
    30,061x = 1,957,266,081
  5. Step 5: Solve for x
    x = 1,957,266,081/30,061
  6. Step 6: Final answer
    x = 65,109.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.