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Finding the Third Proportional to 11,384.93 and 18,000.04

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Solution

The third proportional to 11,384.93 and 18,000.04 is: 28,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.93 : 18,000.04 = 18,000.04 : x
  2. Step 2: Convert to fraction form
    11,384.93/18,000.04 = 18,000.04/x
  3. Step 3: Cross multiply
    11,384.93x = 18,000.04 × 18,000.04
  4. Step 4: Simplify right side
    11,384.93x = 324,001,265.63
  5. Step 5: Solve for x
    x = 324,001,265.63/11,384.93
  6. Step 6: Final answer
    x = 28,458.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.