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Finding the Third Proportional to 47,134.41 and 65,931.47

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Solution

The third proportional to 47,134.41 and 65,931.47 is: 92,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.41 : 65,931.47 = 65,931.47 : x
  2. Step 2: Convert to fraction form
    47,134.41/65,931.47 = 65,931.47/x
  3. Step 3: Cross multiply
    47,134.41x = 65,931.47 × 65,931.47
  4. Step 4: Simplify right side
    47,134.41x = 4,346,958,571.53
  5. Step 5: Solve for x
    x = 4,346,958,571.53/47,134.41
  6. Step 6: Final answer
    x = 92,224.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.