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Finding the Third Proportional to 8,718 and 12,705

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Solution

The third proportional to 8,718 and 12,705 is: 18,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718 : 12,705 = 12,705 : x
  2. Step 2: Convert to fraction form
    8,718/12,705 = 12,705/x
  3. Step 3: Cross multiply
    8,718x = 12,705 × 12,705
  4. Step 4: Simplify right side
    8,718x = 161,417,025
  5. Step 5: Solve for x
    x = 161,417,025/8,718
  6. Step 6: Final answer
    x = 18,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.