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Finding the Third Proportional to 835.25 and 1,300.25

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Solution

The third proportional to 835.25 and 1,300.25 is: 2,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.25 : 1,300.25 = 1,300.25 : x
  2. Step 2: Convert to fraction form
    835.25/1,300.25 = 1,300.25/x
  3. Step 3: Cross multiply
    835.25x = 1,300.25 × 1,300.25
  4. Step 4: Simplify right side
    835.25x = 1,690,650.06
  5. Step 5: Solve for x
    x = 1,690,650.06/835.25
  6. Step 6: Final answer
    x = 2,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.