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Finding the Third Proportional to 13,474 and 29,594

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Solution

The third proportional to 13,474 and 29,594 is: 64,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474 : 29,594 = 29,594 : x
  2. Step 2: Convert to fraction form
    13,474/29,594 = 29,594/x
  3. Step 3: Cross multiply
    13,474x = 29,594 × 29,594
  4. Step 4: Simplify right side
    13,474x = 875,804,836
  5. Step 5: Solve for x
    x = 875,804,836/13,474
  6. Step 6: Final answer
    x = 64,999.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.