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Finding the Third Proportional to 8,151 and 12,078.50

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Solution

The third proportional to 8,151 and 12,078.50 is: 17,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151 : 12,078.50 = 12,078.50 : x
  2. Step 2: Convert to fraction form
    8,151/12,078.50 = 12,078.50/x
  3. Step 3: Cross multiply
    8,151x = 12,078.50 × 12,078.50
  4. Step 4: Simplify right side
    8,151x = 145,890,162.25
  5. Step 5: Solve for x
    x = 145,890,162.25/8,151
  6. Step 6: Final answer
    x = 17,898.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.