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Finding the Third Proportional to 1,664.63 and 2,371.50

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Solution

The third proportional to 1,664.63 and 2,371.50 is: 3,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.63 : 2,371.50 = 2,371.50 : x
  2. Step 2: Convert to fraction form
    1,664.63/2,371.50 = 2,371.50/x
  3. Step 3: Cross multiply
    1,664.63x = 2,371.50 × 2,371.50
  4. Step 4: Simplify right side
    1,664.63x = 5,624,012.25
  5. Step 5: Solve for x
    x = 5,624,012.25/1,664.63
  6. Step 6: Final answer
    x = 3,378.55

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.