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Finding the Third Proportional to 35,799 and 77,498

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Solution

The third proportional to 35,799 and 77,498 is: 167,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,799 : 77,498 = 77,498 : x
  2. Step 2: Convert to fraction form
    35,799/77,498 = 77,498/x
  3. Step 3: Cross multiply
    35,799x = 77,498 × 77,498
  4. Step 4: Simplify right side
    35,799x = 6,005,940,004
  5. Step 5: Solve for x
    x = 6,005,940,004/35,799
  6. Step 6: Final answer
    x = 167,768.37

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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.