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Finding the Third Proportional to 8,518 and 18,657

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Solution

The third proportional to 8,518 and 18,657 is: 40,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518 : 18,657 = 18,657 : x
  2. Step 2: Convert to fraction form
    8,518/18,657 = 18,657/x
  3. Step 3: Cross multiply
    8,518x = 18,657 × 18,657
  4. Step 4: Simplify right side
    8,518x = 348,083,649
  5. Step 5: Solve for x
    x = 348,083,649/8,518
  6. Step 6: Final answer
    x = 40,864.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.