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Finding the Third Proportional to 8,462 and 13,475

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Solution

The third proportional to 8,462 and 13,475 is: 21,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 13,475 = 13,475 : x
  2. Step 2: Convert to fraction form
    8,462/13,475 = 13,475/x
  3. Step 3: Cross multiply
    8,462x = 13,475 × 13,475
  4. Step 4: Simplify right side
    8,462x = 181,575,625
  5. Step 5: Solve for x
    x = 181,575,625/8,462
  6. Step 6: Final answer
    x = 21,457.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.