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Finding the Third Proportional to 37,496.25 and 79,765.88

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Solution

The third proportional to 37,496.25 and 79,765.88 is: 169,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,496.25 : 79,765.88 = 79,765.88 : x
  2. Step 2: Convert to fraction form
    37,496.25/79,765.88 = 79,765.88/x
  3. Step 3: Cross multiply
    37,496.25x = 79,765.88 × 79,765.88
  4. Step 4: Simplify right side
    37,496.25x = 6,362,594,814.52
  5. Step 5: Solve for x
    x = 6,362,594,814.52/37,496.25
  6. Step 6: Final answer
    x = 169,686.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.