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Finding the Third Proportional to 35,813.25 and 78,774.75

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Solution

The third proportional to 35,813.25 and 78,774.75 is: 173,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.25 : 78,774.75 = 78,774.75 : x
  2. Step 2: Convert to fraction form
    35,813.25/78,774.75 = 78,774.75/x
  3. Step 3: Cross multiply
    35,813.25x = 78,774.75 × 78,774.75
  4. Step 4: Simplify right side
    35,813.25x = 6,205,461,237.56
  5. Step 5: Solve for x
    x = 6,205,461,237.56/35,813.25
  6. Step 6: Final answer
    x = 173,272.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.