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Finding the Third Proportional to 2,389.03 and 5,068.22

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Solution

The third proportional to 2,389.03 and 5,068.22 is: 10,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.03 : 5,068.22 = 5,068.22 : x
  2. Step 2: Convert to fraction form
    2,389.03/5,068.22 = 5,068.22/x
  3. Step 3: Cross multiply
    2,389.03x = 5,068.22 × 5,068.22
  4. Step 4: Simplify right side
    2,389.03x = 25,686,841.30
  5. Step 5: Solve for x
    x = 25,686,841.30/2,389.03
  6. Step 6: Final answer
    x = 10,751.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.