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Finding the Third Proportional to 5,406 and 13,461

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Solution

The third proportional to 5,406 and 13,461 is: 33,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 13,461 = 13,461 : x
  2. Step 2: Convert to fraction form
    5,406/13,461 = 13,461/x
  3. Step 3: Cross multiply
    5,406x = 13,461 × 13,461
  4. Step 4: Simplify right side
    5,406x = 181,198,521
  5. Step 5: Solve for x
    x = 181,198,521/5,406
  6. Step 6: Final answer
    x = 33,518.04

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.