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Finding the Third Proportional to 37,226.25 and 77,459.63

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Solution

The third proportional to 37,226.25 and 77,459.63 is: 161,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,226.25 : 77,459.63 = 77,459.63 : x
  2. Step 2: Convert to fraction form
    37,226.25/77,459.63 = 77,459.63/x
  3. Step 3: Cross multiply
    37,226.25x = 77,459.63 × 77,459.63
  4. Step 4: Simplify right side
    37,226.25x = 5,999,993,505.14
  5. Step 5: Solve for x
    x = 5,999,993,505.14/37,226.25
  6. Step 6: Final answer
    x = 161,176.41

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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.