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Finding the Third Proportional to 8,937.84 and 18,323.72

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Solution

The third proportional to 8,937.84 and 18,323.72 is: 37,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.84 : 18,323.72 = 18,323.72 : x
  2. Step 2: Convert to fraction form
    8,937.84/18,323.72 = 18,323.72/x
  3. Step 3: Cross multiply
    8,937.84x = 18,323.72 × 18,323.72
  4. Step 4: Simplify right side
    8,937.84x = 335,758,668.83
  5. Step 5: Solve for x
    x = 335,758,668.83/8,937.84
  6. Step 6: Final answer
    x = 37,565.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.