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Finding the Third Proportional to 37,216.41 and 56,695.78

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Solution

The third proportional to 37,216.41 and 56,695.78 is: 86,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216.41 : 56,695.78 = 56,695.78 : x
  2. Step 2: Convert to fraction form
    37,216.41/56,695.78 = 56,695.78/x
  3. Step 3: Cross multiply
    37,216.41x = 56,695.78 × 56,695.78
  4. Step 4: Simplify right side
    37,216.41x = 3,214,411,611.55
  5. Step 5: Solve for x
    x = 3,214,411,611.55/37,216.41
  6. Step 6: Final answer
    x = 86,370.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.