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Finding the Third Proportional to 8,913.50 and 12,846.50

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Solution

The third proportional to 8,913.50 and 12,846.50 is: 18,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.50 : 12,846.50 = 12,846.50 : x
  2. Step 2: Convert to fraction form
    8,913.50/12,846.50 = 12,846.50/x
  3. Step 3: Cross multiply
    8,913.50x = 12,846.50 × 12,846.50
  4. Step 4: Simplify right side
    8,913.50x = 165,032,562.25
  5. Step 5: Solve for x
    x = 165,032,562.25/8,913.50
  6. Step 6: Final answer
    x = 18,514.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.