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Finding the Third Proportional to 2,138.63 and 4,596.38

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Solution

The third proportional to 2,138.63 and 4,596.38 is: 9,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.63 : 4,596.38 = 4,596.38 : x
  2. Step 2: Convert to fraction form
    2,138.63/4,596.38 = 4,596.38/x
  3. Step 3: Cross multiply
    2,138.63x = 4,596.38 × 4,596.38
  4. Step 4: Simplify right side
    2,138.63x = 21,126,663.14
  5. Step 5: Solve for x
    x = 21,126,663.14/2,138.63
  6. Step 6: Final answer
    x = 9,878.62

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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.