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Finding the Third Proportional to 30,014 and 65,850

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Solution

The third proportional to 30,014 and 65,850 is: 144,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014 : 65,850 = 65,850 : x
  2. Step 2: Convert to fraction form
    30,014/65,850 = 65,850/x
  3. Step 3: Cross multiply
    30,014x = 65,850 × 65,850
  4. Step 4: Simplify right side
    30,014x = 4,336,222,500
  5. Step 5: Solve for x
    x = 4,336,222,500/30,014
  6. Step 6: Final answer
    x = 144,473.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.