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Finding the Third Proportional to 1,928.25 and 4,790.25

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Solution

The third proportional to 1,928.25 and 4,790.25 is: 11,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.25 : 4,790.25 = 4,790.25 : x
  2. Step 2: Convert to fraction form
    1,928.25/4,790.25 = 4,790.25/x
  3. Step 3: Cross multiply
    1,928.25x = 4,790.25 × 4,790.25
  4. Step 4: Simplify right side
    1,928.25x = 22,946,495.06
  5. Step 5: Solve for x
    x = 22,946,495.06/1,928.25
  6. Step 6: Final answer
    x = 11,900.17

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.