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Finding the Third Proportional to 1,885.36 and 4,564.69

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Solution

The third proportional to 1,885.36 and 4,564.69 is: 11,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.36 : 4,564.69 = 4,564.69 : x
  2. Step 2: Convert to fraction form
    1,885.36/4,564.69 = 4,564.69/x
  3. Step 3: Cross multiply
    1,885.36x = 4,564.69 × 4,564.69
  4. Step 4: Simplify right side
    1,885.36x = 20,836,371.97
  5. Step 5: Solve for x
    x = 20,836,371.97/1,885.36
  6. Step 6: Final answer
    x = 11,051.67

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.