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Finding the Third Proportional to 8,910 and 12,345

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Solution

The third proportional to 8,910 and 12,345 is: 17,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910 : 12,345 = 12,345 : x
  2. Step 2: Convert to fraction form
    8,910/12,345 = 12,345/x
  3. Step 3: Cross multiply
    8,910x = 12,345 × 12,345
  4. Step 4: Simplify right side
    8,910x = 152,399,025
  5. Step 5: Solve for x
    x = 152,399,025/8,910
  6. Step 6: Final answer
    x = 17,104.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.