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Finding the Third Proportional to 2,073.56 and 4,803.94

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Solution

The third proportional to 2,073.56 and 4,803.94 is: 11,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.56 : 4,803.94 = 4,803.94 : x
  2. Step 2: Convert to fraction form
    2,073.56/4,803.94 = 4,803.94/x
  3. Step 3: Cross multiply
    2,073.56x = 4,803.94 × 4,803.94
  4. Step 4: Simplify right side
    2,073.56x = 23,077,815.50
  5. Step 5: Solve for x
    x = 23,077,815.50/2,073.56
  6. Step 6: Final answer
    x = 11,129.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.