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Finding the Third Proportional to 35,714 and 77,782

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Solution

The third proportional to 35,714 and 77,782 is: 169,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714 : 77,782 = 77,782 : x
  2. Step 2: Convert to fraction form
    35,714/77,782 = 77,782/x
  3. Step 3: Cross multiply
    35,714x = 77,782 × 77,782
  4. Step 4: Simplify right side
    35,714x = 6,050,039,524
  5. Step 5: Solve for x
    x = 6,050,039,524/35,714
  6. Step 6: Final answer
    x = 169,402.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.