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Finding the Third Proportional to 4,058.56 and 8,733.94

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Solution

The third proportional to 4,058.56 and 8,733.94 is: 18,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.56 : 8,733.94 = 8,733.94 : x
  2. Step 2: Convert to fraction form
    4,058.56/8,733.94 = 8,733.94/x
  3. Step 3: Cross multiply
    4,058.56x = 8,733.94 × 8,733.94
  4. Step 4: Simplify right side
    4,058.56x = 76,281,664.25
  5. Step 5: Solve for x
    x = 76,281,664.25/4,058.56
  6. Step 6: Final answer
    x = 18,795.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.