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Finding the Third Proportional to 1,483.31 and 2,314.83

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Solution

The third proportional to 1,483.31 and 2,314.83 is: 3,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.31 : 2,314.83 = 2,314.83 : x
  2. Step 2: Convert to fraction form
    1,483.31/2,314.83 = 2,314.83/x
  3. Step 3: Cross multiply
    1,483.31x = 2,314.83 × 2,314.83
  4. Step 4: Simplify right side
    1,483.31x = 5,358,429.25
  5. Step 5: Solve for x
    x = 5,358,429.25/1,483.31
  6. Step 6: Final answer
    x = 3,612.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.