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Finding the Third Proportional to 835.73 and 1,275.96

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Solution

The third proportional to 835.73 and 1,275.96 is: 1,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.73 : 1,275.96 = 1,275.96 : x
  2. Step 2: Convert to fraction form
    835.73/1,275.96 = 1,275.96/x
  3. Step 3: Cross multiply
    835.73x = 1,275.96 × 1,275.96
  4. Step 4: Simplify right side
    835.73x = 1,628,076.31
  5. Step 5: Solve for x
    x = 1,628,076.31/835.73
  6. Step 6: Final answer
    x = 1,948.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.