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Finding the Third Proportional to 4,023 and 8,733.66

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Solution

The third proportional to 4,023 and 8,733.66 is: 18,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023 : 8,733.66 = 8,733.66 : x
  2. Step 2: Convert to fraction form
    4,023/8,733.66 = 8,733.66/x
  3. Step 3: Cross multiply
    4,023x = 8,733.66 × 8,733.66
  4. Step 4: Simplify right side
    4,023x = 76,276,751.49
  5. Step 5: Solve for x
    x = 76,276,751.49/4,023
  6. Step 6: Final answer
    x = 18,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.