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Finding the Third Proportional to 35,714 and 53,895

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Solution

The third proportional to 35,714 and 53,895 is: 81,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714 : 53,895 = 53,895 : x
  2. Step 2: Convert to fraction form
    35,714/53,895 = 53,895/x
  3. Step 3: Cross multiply
    35,714x = 53,895 × 53,895
  4. Step 4: Simplify right side
    35,714x = 2,904,671,025
  5. Step 5: Solve for x
    x = 2,904,671,025/35,714
  6. Step 6: Final answer
    x = 81,331.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.