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Finding the Third Proportional to 2,068.03 and 4,889.11

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Solution

The third proportional to 2,068.03 and 4,889.11 is: 11,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.03 : 4,889.11 = 4,889.11 : x
  2. Step 2: Convert to fraction form
    2,068.03/4,889.11 = 4,889.11/x
  3. Step 3: Cross multiply
    2,068.03x = 4,889.11 × 4,889.11
  4. Step 4: Simplify right side
    2,068.03x = 23,903,390.48
  5. Step 5: Solve for x
    x = 23,903,390.48/2,068.03
  6. Step 6: Final answer
    x = 11,558.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.