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Finding the Third Proportional to 35,679.66 and 77,716.13

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Solution

The third proportional to 35,679.66 and 77,716.13 is: 169,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679.66 : 77,716.13 = 77,716.13 : x
  2. Step 2: Convert to fraction form
    35,679.66/77,716.13 = 77,716.13/x
  3. Step 3: Cross multiply
    35,679.66x = 77,716.13 × 77,716.13
  4. Step 4: Simplify right side
    35,679.66x = 6,039,796,085.02
  5. Step 5: Solve for x
    x = 6,039,796,085.02/35,679.66
  6. Step 6: Final answer
    x = 169,278.43

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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.