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Finding the Third Proportional to 1,215 and 1,930.50

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Solution

The third proportional to 1,215 and 1,930.50 is: 3,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215 : 1,930.50 = 1,930.50 : x
  2. Step 2: Convert to fraction form
    1,215/1,930.50 = 1,930.50/x
  3. Step 3: Cross multiply
    1,215x = 1,930.50 × 1,930.50
  4. Step 4: Simplify right side
    1,215x = 3,726,830.25
  5. Step 5: Solve for x
    x = 3,726,830.25/1,215
  6. Step 6: Final answer
    x = 3,067.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.