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Finding the Third Proportional to 2,085.05 and 4,607.72

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Solution

The third proportional to 2,085.05 and 4,607.72 is: 10,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.05 : 4,607.72 = 4,607.72 : x
  2. Step 2: Convert to fraction form
    2,085.05/4,607.72 = 4,607.72/x
  3. Step 3: Cross multiply
    2,085.05x = 4,607.72 × 4,607.72
  4. Step 4: Simplify right side
    2,085.05x = 21,231,072.08
  5. Step 5: Solve for x
    x = 21,231,072.08/2,085.05
  6. Step 6: Final answer
    x = 10,182.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.