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Finding the Third Proportional to 30,888 and 66,150

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Solution

The third proportional to 30,888 and 66,150 is: 141,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 66,150 = 66,150 : x
  2. Step 2: Convert to fraction form
    30,888/66,150 = 66,150/x
  3. Step 3: Cross multiply
    30,888x = 66,150 × 66,150
  4. Step 4: Simplify right side
    30,888x = 4,375,822,500
  5. Step 5: Solve for x
    x = 4,375,822,500/30,888
  6. Step 6: Final answer
    x = 141,667.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.