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Finding the Third Proportional to 835.00 and 1,283.82

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Solution

The third proportional to 835.00 and 1,283.82 is: 1,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.00 : 1,283.82 = 1,283.82 : x
  2. Step 2: Convert to fraction form
    835.00/1,283.82 = 1,283.82/x
  3. Step 3: Cross multiply
    835.00x = 1,283.82 × 1,283.82
  4. Step 4: Simplify right side
    835.00x = 1,648,189.58
  5. Step 5: Solve for x
    x = 1,648,189.58/835.00
  6. Step 6: Final answer
    x = 1,973.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.