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Finding the Third Proportional to 13,766 and 19,461

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Solution

The third proportional to 13,766 and 19,461 is: 27,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766 : 19,461 = 19,461 : x
  2. Step 2: Convert to fraction form
    13,766/19,461 = 19,461/x
  3. Step 3: Cross multiply
    13,766x = 19,461 × 19,461
  4. Step 4: Simplify right side
    13,766x = 378,730,521
  5. Step 5: Solve for x
    x = 378,730,521/13,766
  6. Step 6: Final answer
    x = 27,512.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.