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Finding the Third Proportional to 928.69 and 2,134.13

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Solution

The third proportional to 928.69 and 2,134.13 is: 4,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.69 : 2,134.13 = 2,134.13 : x
  2. Step 2: Convert to fraction form
    928.69/2,134.13 = 2,134.13/x
  3. Step 3: Cross multiply
    928.69x = 2,134.13 × 2,134.13
  4. Step 4: Simplify right side
    928.69x = 4,554,489.52
  5. Step 5: Solve for x
    x = 4,554,489.52/928.69
  6. Step 6: Final answer
    x = 4,904.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.