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Finding the Third Proportional to 30,610 and 67,232

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Solution

The third proportional to 30,610 and 67,232 is: 147,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610 : 67,232 = 67,232 : x
  2. Step 2: Convert to fraction form
    30,610/67,232 = 67,232/x
  3. Step 3: Cross multiply
    30,610x = 67,232 × 67,232
  4. Step 4: Simplify right side
    30,610x = 4,520,141,824
  5. Step 5: Solve for x
    x = 4,520,141,824/30,610
  6. Step 6: Final answer
    x = 147,668.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.