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Finding the Third Proportional to 37,716.56 and 78,533.44

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Solution

The third proportional to 37,716.56 and 78,533.44 is: 163,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716.56 : 78,533.44 = 78,533.44 : x
  2. Step 2: Convert to fraction form
    37,716.56/78,533.44 = 78,533.44/x
  3. Step 3: Cross multiply
    37,716.56x = 78,533.44 × 78,533.44
  4. Step 4: Simplify right side
    37,716.56x = 6,167,500,805.57
  5. Step 5: Solve for x
    x = 6,167,500,805.57/37,716.56
  6. Step 6: Final answer
    x = 163,522.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.