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Finding the Third Proportional to 8,641.27 and 18,295.03

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Solution

The third proportional to 8,641.27 and 18,295.03 is: 38,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.27 : 18,295.03 = 18,295.03 : x
  2. Step 2: Convert to fraction form
    8,641.27/18,295.03 = 18,295.03/x
  3. Step 3: Cross multiply
    8,641.27x = 18,295.03 × 18,295.03
  4. Step 4: Simplify right side
    8,641.27x = 334,708,168.44
  5. Step 5: Solve for x
    x = 334,708,168.44/8,641.27
  6. Step 6: Final answer
    x = 38,733.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.