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Finding the Third Proportional to 2,074.36 and 4,478.84

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Solution

The third proportional to 2,074.36 and 4,478.84 is: 9,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.36 : 4,478.84 = 4,478.84 : x
  2. Step 2: Convert to fraction form
    2,074.36/4,478.84 = 4,478.84/x
  3. Step 3: Cross multiply
    2,074.36x = 4,478.84 × 4,478.84
  4. Step 4: Simplify right side
    2,074.36x = 20,059,971.36
  5. Step 5: Solve for x
    x = 20,059,971.36/2,074.36
  6. Step 6: Final answer
    x = 9,670.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.