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Finding the Third Proportional to 37,475.25 and 79,805.63

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Solution

The third proportional to 37,475.25 and 79,805.63 is: 169,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,475.25 : 79,805.63 = 79,805.63 : x
  2. Step 2: Convert to fraction form
    37,475.25/79,805.63 = 79,805.63/x
  3. Step 3: Cross multiply
    37,475.25x = 79,805.63 × 79,805.63
  4. Step 4: Simplify right side
    37,475.25x = 6,368,937,781.64
  5. Step 5: Solve for x
    x = 6,368,937,781.64/37,475.25
  6. Step 6: Final answer
    x = 169,950.51

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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.