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Finding the Third Proportional to 8,574 and 9,384

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Solution

The third proportional to 8,574 and 9,384 is: 10,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 9,384 = 9,384 : x
  2. Step 2: Convert to fraction form
    8,574/9,384 = 9,384/x
  3. Step 3: Cross multiply
    8,574x = 9,384 × 9,384
  4. Step 4: Simplify right side
    8,574x = 88,059,456
  5. Step 5: Solve for x
    x = 88,059,456/8,574
  6. Step 6: Final answer
    x = 10,270.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.