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Finding the Third Proportional to 1,303.31 and 1,947.94

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Solution

The third proportional to 1,303.31 and 1,947.94 is: 2,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.31 : 1,947.94 = 1,947.94 : x
  2. Step 2: Convert to fraction form
    1,303.31/1,947.94 = 1,947.94/x
  3. Step 3: Cross multiply
    1,303.31x = 1,947.94 × 1,947.94
  4. Step 4: Simplify right side
    1,303.31x = 3,794,460.50
  5. Step 5: Solve for x
    x = 3,794,460.50/1,303.31
  6. Step 6: Final answer
    x = 2,911.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.