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Finding the Third Proportional to 12,416 and 18,598

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Solution

The third proportional to 12,416 and 18,598 is: 27,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 18,598 = 18,598 : x
  2. Step 2: Convert to fraction form
    12,416/18,598 = 18,598/x
  3. Step 3: Cross multiply
    12,416x = 18,598 × 18,598
  4. Step 4: Simplify right side
    12,416x = 345,885,604
  5. Step 5: Solve for x
    x = 345,885,604/12,416
  6. Step 6: Final answer
    x = 27,858.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.