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Finding the Third Proportional to 4,466.25 and 5,873.63

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Solution

The third proportional to 4,466.25 and 5,873.63 is: 7,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.25 : 5,873.63 = 5,873.63 : x
  2. Step 2: Convert to fraction form
    4,466.25/5,873.63 = 5,873.63/x
  3. Step 3: Cross multiply
    4,466.25x = 5,873.63 × 5,873.63
  4. Step 4: Simplify right side
    4,466.25x = 34,499,470.64
  5. Step 5: Solve for x
    x = 34,499,470.64/4,466.25
  6. Step 6: Final answer
    x = 7,724.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.