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Finding the Third Proportional to 3,564 and 8,370

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Solution

The third proportional to 3,564 and 8,370 is: 19,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 8,370 = 8,370 : x
  2. Step 2: Convert to fraction form
    3,564/8,370 = 8,370/x
  3. Step 3: Cross multiply
    3,564x = 8,370 × 8,370
  4. Step 4: Simplify right side
    3,564x = 70,056,900
  5. Step 5: Solve for x
    x = 70,056,900/3,564
  6. Step 6: Final answer
    x = 19,656.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.