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Finding the Third Proportional to 2,356.03 and 5,076.28

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Solution

The third proportional to 2,356.03 and 5,076.28 is: 10,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.03 : 5,076.28 = 5,076.28 : x
  2. Step 2: Convert to fraction form
    2,356.03/5,076.28 = 5,076.28/x
  3. Step 3: Cross multiply
    2,356.03x = 5,076.28 × 5,076.28
  4. Step 4: Simplify right side
    2,356.03x = 25,768,631.33
  5. Step 5: Solve for x
    x = 25,768,631.33/2,356.03
  6. Step 6: Final answer
    x = 10,937.30

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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.