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Finding the Third Proportional to 4,049 and 8,894.50

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Solution

The third proportional to 4,049 and 8,894.50 is: 19,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049 : 8,894.50 = 8,894.50 : x
  2. Step 2: Convert to fraction form
    4,049/8,894.50 = 8,894.50/x
  3. Step 3: Cross multiply
    4,049x = 8,894.50 × 8,894.50
  4. Step 4: Simplify right side
    4,049x = 79,112,130.25
  5. Step 5: Solve for x
    x = 79,112,130.25/4,049
  6. Step 6: Final answer
    x = 19,538.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.