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Finding the Third Proportional to 30,710 and 66,268

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Solution

The third proportional to 30,710 and 66,268 is: 142,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 66,268 = 66,268 : x
  2. Step 2: Convert to fraction form
    30,710/66,268 = 66,268/x
  3. Step 3: Cross multiply
    30,710x = 66,268 × 66,268
  4. Step 4: Simplify right side
    30,710x = 4,391,447,824
  5. Step 5: Solve for x
    x = 4,391,447,824/30,710
  6. Step 6: Final answer
    x = 142,997.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.