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Finding the Third Proportional to 9,492.19 and 17,794.69

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Solution

The third proportional to 9,492.19 and 17,794.69 is: 33,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.19 : 17,794.69 = 17,794.69 : x
  2. Step 2: Convert to fraction form
    9,492.19/17,794.69 = 17,794.69/x
  3. Step 3: Cross multiply
    9,492.19x = 17,794.69 × 17,794.69
  4. Step 4: Simplify right side
    9,492.19x = 316,650,903.22
  5. Step 5: Solve for x
    x = 316,650,903.22/9,492.19
  6. Step 6: Final answer
    x = 33,359.11

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.