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Finding the Third Proportional to 8,298 and 12,567

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Solution

The third proportional to 8,298 and 12,567 is: 19,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298 : 12,567 = 12,567 : x
  2. Step 2: Convert to fraction form
    8,298/12,567 = 12,567/x
  3. Step 3: Cross multiply
    8,298x = 12,567 × 12,567
  4. Step 4: Simplify right side
    8,298x = 157,929,489
  5. Step 5: Solve for x
    x = 157,929,489/8,298
  6. Step 6: Final answer
    x = 19,032.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.