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Finding the Third Proportional to 883.25 and 2,053.25

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Solution

The third proportional to 883.25 and 2,053.25 is: 4,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.25 : 2,053.25 = 2,053.25 : x
  2. Step 2: Convert to fraction form
    883.25/2,053.25 = 2,053.25/x
  3. Step 3: Cross multiply
    883.25x = 2,053.25 × 2,053.25
  4. Step 4: Simplify right side
    883.25x = 4,215,835.56
  5. Step 5: Solve for x
    x = 4,215,835.56/883.25
  6. Step 6: Final answer
    x = 4,773.09

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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.