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Finding the Third Proportional to 32,671.41 and 48,050.16

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Solution

The third proportional to 32,671.41 and 48,050.16 is: 70,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.41 : 48,050.16 = 48,050.16 : x
  2. Step 2: Convert to fraction form
    32,671.41/48,050.16 = 48,050.16/x
  3. Step 3: Cross multiply
    32,671.41x = 48,050.16 × 48,050.16
  4. Step 4: Simplify right side
    32,671.41x = 2,308,817,515.65
  5. Step 5: Solve for x
    x = 2,308,817,515.65/32,671.41
  6. Step 6: Final answer
    x = 70,667.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.