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Finding the Third Proportional to 15,078.23 and 22,178.60

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Solution

The third proportional to 15,078.23 and 22,178.60 is: 32,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.23 : 22,178.60 = 22,178.60 : x
  2. Step 2: Convert to fraction form
    15,078.23/22,178.60 = 22,178.60/x
  3. Step 3: Cross multiply
    15,078.23x = 22,178.60 × 22,178.60
  4. Step 4: Simplify right side
    15,078.23x = 491,890,367.27
  5. Step 5: Solve for x
    x = 491,890,367.27/15,078.23
  6. Step 6: Final answer
    x = 32,622.54

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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.