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Finding the Third Proportional to 8,124 and 12,546

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Solution

The third proportional to 8,124 and 12,546 is: 19,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,546 = 12,546 : x
  2. Step 2: Convert to fraction form
    8,124/12,546 = 12,546/x
  3. Step 3: Cross multiply
    8,124x = 12,546 × 12,546
  4. Step 4: Simplify right side
    8,124x = 157,402,116
  5. Step 5: Solve for x
    x = 157,402,116/8,124
  6. Step 6: Final answer
    x = 19,374.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.