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Finding the Third Proportional to 30,016 and 44,774

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Solution

The third proportional to 30,016 and 44,774 is: 66,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016 : 44,774 = 44,774 : x
  2. Step 2: Convert to fraction form
    30,016/44,774 = 44,774/x
  3. Step 3: Cross multiply
    30,016x = 44,774 × 44,774
  4. Step 4: Simplify right side
    30,016x = 2,004,711,076
  5. Step 5: Solve for x
    x = 2,004,711,076/30,016
  6. Step 6: Final answer
    x = 66,788.08

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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.