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Finding the Third Proportional to 9,164 and 18,814

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Solution

The third proportional to 9,164 and 18,814 is: 38,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 18,814 = 18,814 : x
  2. Step 2: Convert to fraction form
    9,164/18,814 = 18,814/x
  3. Step 3: Cross multiply
    9,164x = 18,814 × 18,814
  4. Step 4: Simplify right side
    9,164x = 353,966,596
  5. Step 5: Solve for x
    x = 353,966,596/9,164
  6. Step 6: Final answer
    x = 38,625.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.