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Finding the Third Proportional to 835.95 and 1,722.52

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Solution

The third proportional to 835.95 and 1,722.52 is: 3,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.95 : 1,722.52 = 1,722.52 : x
  2. Step 2: Convert to fraction form
    835.95/1,722.52 = 1,722.52/x
  3. Step 3: Cross multiply
    835.95x = 1,722.52 × 1,722.52
  4. Step 4: Simplify right side
    835.95x = 2,967,060.08
  5. Step 5: Solve for x
    x = 2,967,060.08/835.95
  6. Step 6: Final answer
    x = 3,549.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.