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Finding the Third Proportional to 37,858.22 and 59,396.63

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Solution

The third proportional to 37,858.22 and 59,396.63 is: 93,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.22 : 59,396.63 = 59,396.63 : x
  2. Step 2: Convert to fraction form
    37,858.22/59,396.63 = 59,396.63/x
  3. Step 3: Cross multiply
    37,858.22x = 59,396.63 × 59,396.63
  4. Step 4: Simplify right side
    37,858.22x = 3,527,959,061.39
  5. Step 5: Solve for x
    x = 3,527,959,061.39/37,858.22
  6. Step 6: Final answer
    x = 93,188.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.