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Finding the Third Proportional to 8,325.38 and 17,835.28

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Solution

The third proportional to 8,325.38 and 17,835.28 is: 38,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.38 : 17,835.28 = 17,835.28 : x
  2. Step 2: Convert to fraction form
    8,325.38/17,835.28 = 17,835.28/x
  3. Step 3: Cross multiply
    8,325.38x = 17,835.28 × 17,835.28
  4. Step 4: Simplify right side
    8,325.38x = 318,097,257.27
  5. Step 5: Solve for x
    x = 318,097,257.27/8,325.38
  6. Step 6: Final answer
    x = 38,208.16

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Why These Related Problems?

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