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Finding the Third Proportional to 8,946 and 19,593

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Solution

The third proportional to 8,946 and 19,593 is: 42,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 19,593 = 19,593 : x
  2. Step 2: Convert to fraction form
    8,946/19,593 = 19,593/x
  3. Step 3: Cross multiply
    8,946x = 19,593 × 19,593
  4. Step 4: Simplify right side
    8,946x = 383,885,649
  5. Step 5: Solve for x
    x = 383,885,649/8,946
  6. Step 6: Final answer
    x = 42,911.43

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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.