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Finding the Third Proportional to 8,382 and 12,574

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Solution

The third proportional to 8,382 and 12,574 is: 18,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 12,574 = 12,574 : x
  2. Step 2: Convert to fraction form
    8,382/12,574 = 12,574/x
  3. Step 3: Cross multiply
    8,382x = 12,574 × 12,574
  4. Step 4: Simplify right side
    8,382x = 158,105,476
  5. Step 5: Solve for x
    x = 158,105,476/8,382
  6. Step 6: Final answer
    x = 18,862.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.