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Finding the Third Proportional to 37,041.75 and 79,905.38

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Solution

The third proportional to 37,041.75 and 79,905.38 is: 172,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041.75 : 79,905.38 = 79,905.38 : x
  2. Step 2: Convert to fraction form
    37,041.75/79,905.38 = 79,905.38/x
  3. Step 3: Cross multiply
    37,041.75x = 79,905.38 × 79,905.38
  4. Step 4: Simplify right side
    37,041.75x = 6,384,868,953.89
  5. Step 5: Solve for x
    x = 6,384,868,953.89/37,041.75
  6. Step 6: Final answer
    x = 172,369.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.