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Finding the Third Proportional to 30,116 and 44,738

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Solution

The third proportional to 30,116 and 44,738 is: 66,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 44,738 = 44,738 : x
  2. Step 2: Convert to fraction form
    30,116/44,738 = 44,738/x
  3. Step 3: Cross multiply
    30,116x = 44,738 × 44,738
  4. Step 4: Simplify right side
    30,116x = 2,001,488,644
  5. Step 5: Solve for x
    x = 2,001,488,644/30,116
  6. Step 6: Final answer
    x = 66,459.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.