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Finding the Third Proportional to 7,566 and 16,212

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Solution

The third proportional to 7,566 and 16,212 is: 34,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566 : 16,212 = 16,212 : x
  2. Step 2: Convert to fraction form
    7,566/16,212 = 16,212/x
  3. Step 3: Cross multiply
    7,566x = 16,212 × 16,212
  4. Step 4: Simplify right side
    7,566x = 262,828,944
  5. Step 5: Solve for x
    x = 262,828,944/7,566
  6. Step 6: Final answer
    x = 34,738.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.