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Finding the Third Proportional to 8,788 and 18,965

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Solution

The third proportional to 8,788 and 18,965 is: 40,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,788 : 18,965 = 18,965 : x
  2. Step 2: Convert to fraction form
    8,788/18,965 = 18,965/x
  3. Step 3: Cross multiply
    8,788x = 18,965 × 18,965
  4. Step 4: Simplify right side
    8,788x = 359,671,225
  5. Step 5: Solve for x
    x = 359,671,225/8,788
  6. Step 6: Final answer
    x = 40,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.