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Finding the Third Proportional to 2,873.25 and 6,953.63

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Solution

The third proportional to 2,873.25 and 6,953.63 is: 16,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.25 : 6,953.63 = 6,953.63 : x
  2. Step 2: Convert to fraction form
    2,873.25/6,953.63 = 6,953.63/x
  3. Step 3: Cross multiply
    2,873.25x = 6,953.63 × 6,953.63
  4. Step 4: Simplify right side
    2,873.25x = 48,352,900.64
  5. Step 5: Solve for x
    x = 48,352,900.64/2,873.25
  6. Step 6: Final answer
    x = 16,828.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.