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Finding the Third Proportional to 4,569.75 and 9,965.81

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Solution

The third proportional to 4,569.75 and 9,965.81 is: 21,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.75 : 9,965.81 = 9,965.81 : x
  2. Step 2: Convert to fraction form
    4,569.75/9,965.81 = 9,965.81/x
  3. Step 3: Cross multiply
    4,569.75x = 9,965.81 × 9,965.81
  4. Step 4: Simplify right side
    4,569.75x = 99,317,418.79
  5. Step 5: Solve for x
    x = 99,317,418.79/4,569.75
  6. Step 6: Final answer
    x = 21,733.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.