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Finding the Third Proportional to 8,220 and 13,184

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Solution

The third proportional to 8,220 and 13,184 is: 21,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 13,184 = 13,184 : x
  2. Step 2: Convert to fraction form
    8,220/13,184 = 13,184/x
  3. Step 3: Cross multiply
    8,220x = 13,184 × 13,184
  4. Step 4: Simplify right side
    8,220x = 173,817,856
  5. Step 5: Solve for x
    x = 173,817,856/8,220
  6. Step 6: Final answer
    x = 21,145.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.