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Finding the Third Proportional to 15,714 and 33,054

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Solution

The third proportional to 15,714 and 33,054 is: 69,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 33,054 = 33,054 : x
  2. Step 2: Convert to fraction form
    15,714/33,054 = 33,054/x
  3. Step 3: Cross multiply
    15,714x = 33,054 × 33,054
  4. Step 4: Simplify right side
    15,714x = 1,092,566,916
  5. Step 5: Solve for x
    x = 1,092,566,916/15,714
  6. Step 6: Final answer
    x = 69,528.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.