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Finding the Third Proportional to 37,778.63 and 58,515.75

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Solution

The third proportional to 37,778.63 and 58,515.75 is: 90,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778.63 : 58,515.75 = 58,515.75 : x
  2. Step 2: Convert to fraction form
    37,778.63/58,515.75 = 58,515.75/x
  3. Step 3: Cross multiply
    37,778.63x = 58,515.75 × 58,515.75
  4. Step 4: Simplify right side
    37,778.63x = 3,424,092,998.06
  5. Step 5: Solve for x
    x = 3,424,092,998.06/37,778.63
  6. Step 6: Final answer
    x = 90,635.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.