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Finding the Third Proportional to 9,564 and 18,966

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Solution

The third proportional to 9,564 and 18,966 is: 37,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 18,966 = 18,966 : x
  2. Step 2: Convert to fraction form
    9,564/18,966 = 18,966/x
  3. Step 3: Cross multiply
    9,564x = 18,966 × 18,966
  4. Step 4: Simplify right side
    9,564x = 359,709,156
  5. Step 5: Solve for x
    x = 359,709,156/9,564
  6. Step 6: Final answer
    x = 37,610.74

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.