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Finding the Third Proportional to 928.88 and 1,834.13

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Solution

The third proportional to 928.88 and 1,834.13 is: 3,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,834.13 = 1,834.13 : x
  2. Step 2: Convert to fraction form
    928.88/1,834.13 = 1,834.13/x
  3. Step 3: Cross multiply
    928.88x = 1,834.13 × 1,834.13
  4. Step 4: Simplify right side
    928.88x = 3,364,014.52
  5. Step 5: Solve for x
    x = 3,364,014.52/928.88
  6. Step 6: Final answer
    x = 3,621.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.