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Finding the Third Proportional to 4,191.19 and 8,726.63

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Solution

The third proportional to 4,191.19 and 8,726.63 is: 18,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.19 : 8,726.63 = 8,726.63 : x
  2. Step 2: Convert to fraction form
    4,191.19/8,726.63 = 8,726.63/x
  3. Step 3: Cross multiply
    4,191.19x = 8,726.63 × 8,726.63
  4. Step 4: Simplify right side
    4,191.19x = 76,153,983.89
  5. Step 5: Solve for x
    x = 76,153,983.89/4,191.19
  6. Step 6: Final answer
    x = 18,170.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.