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Finding the Third Proportional to 930.02 and 1,928.39

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Solution

The third proportional to 930.02 and 1,928.39 is: 3,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,928.39 = 1,928.39 : x
  2. Step 2: Convert to fraction form
    930.02/1,928.39 = 1,928.39/x
  3. Step 3: Cross multiply
    930.02x = 1,928.39 × 1,928.39
  4. Step 4: Simplify right side
    930.02x = 3,718,690.40
  5. Step 5: Solve for x
    x = 3,718,690.40/930.02
  6. Step 6: Final answer
    x = 3,998.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.