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Finding the Third Proportional to 13,462 and 29,489

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Solution

The third proportional to 13,462 and 29,489 is: 64,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462 : 29,489 = 29,489 : x
  2. Step 2: Convert to fraction form
    13,462/29,489 = 29,489/x
  3. Step 3: Cross multiply
    13,462x = 29,489 × 29,489
  4. Step 4: Simplify right side
    13,462x = 869,601,121
  5. Step 5: Solve for x
    x = 869,601,121/13,462
  6. Step 6: Final answer
    x = 64,596.73

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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.