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Finding the Third Proportional to 8,325.09 and 17,834.72

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Solution

The third proportional to 8,325.09 and 17,834.72 is: 38,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.09 : 17,834.72 = 17,834.72 : x
  2. Step 2: Convert to fraction form
    8,325.09/17,834.72 = 17,834.72/x
  3. Step 3: Cross multiply
    8,325.09x = 17,834.72 × 17,834.72
  4. Step 4: Simplify right side
    8,325.09x = 318,077,192.89
  5. Step 5: Solve for x
    x = 318,077,192.89/8,325.09
  6. Step 6: Final answer
    x = 38,207.04

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