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Finding the Third Proportional to 30,714 and 66,276

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Solution

The third proportional to 30,714 and 66,276 is: 143,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714 : 66,276 = 66,276 : x
  2. Step 2: Convert to fraction form
    30,714/66,276 = 66,276/x
  3. Step 3: Cross multiply
    30,714x = 66,276 × 66,276
  4. Step 4: Simplify right side
    30,714x = 4,392,508,176
  5. Step 5: Solve for x
    x = 4,392,508,176/30,714
  6. Step 6: Final answer
    x = 143,013.22

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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.