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Finding the Third Proportional to 7,716.66 and 16,603.59

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Solution

The third proportional to 7,716.66 and 16,603.59 is: 35,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.66 : 16,603.59 = 16,603.59 : x
  2. Step 2: Convert to fraction form
    7,716.66/16,603.59 = 16,603.59/x
  3. Step 3: Cross multiply
    7,716.66x = 16,603.59 × 16,603.59
  4. Step 4: Simplify right side
    7,716.66x = 275,679,325.42
  5. Step 5: Solve for x
    x = 275,679,325.42/7,716.66
  6. Step 6: Final answer
    x = 35,725.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.