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Finding the Third Proportional to 9,492.19 and 18,118.69

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Solution

The third proportional to 9,492.19 and 18,118.69 is: 34,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.19 : 18,118.69 = 18,118.69 : x
  2. Step 2: Convert to fraction form
    9,492.19/18,118.69 = 18,118.69/x
  3. Step 3: Cross multiply
    9,492.19x = 18,118.69 × 18,118.69
  4. Step 4: Simplify right side
    9,492.19x = 328,286,836.72
  5. Step 5: Solve for x
    x = 328,286,836.72/9,492.19
  6. Step 6: Final answer
    x = 34,584.95

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.