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Finding the Third Proportional to 23,280.47 and 35,671.22

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Solution

The third proportional to 23,280.47 and 35,671.22 is: 54,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,280.47 : 35,671.22 = 35,671.22 : x
  2. Step 2: Convert to fraction form
    23,280.47/35,671.22 = 35,671.22/x
  3. Step 3: Cross multiply
    23,280.47x = 35,671.22 × 35,671.22
  4. Step 4: Simplify right side
    23,280.47x = 1,272,435,847.11
  5. Step 5: Solve for x
    x = 1,272,435,847.11/23,280.47
  6. Step 6: Final answer
    x = 54,656.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.