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Finding the Third Proportional to 35,780 and 77,714

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Solution

The third proportional to 35,780 and 77,714 is: 168,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780 : 77,714 = 77,714 : x
  2. Step 2: Convert to fraction form
    35,780/77,714 = 77,714/x
  3. Step 3: Cross multiply
    35,780x = 77,714 × 77,714
  4. Step 4: Simplify right side
    35,780x = 6,039,465,796
  5. Step 5: Solve for x
    x = 6,039,465,796/35,780
  6. Step 6: Final answer
    x = 168,794.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.