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Finding the Third Proportional to 1,364.74 and 2,157.03

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Solution

The third proportional to 1,364.74 and 2,157.03 is: 3,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.74 : 2,157.03 = 2,157.03 : x
  2. Step 2: Convert to fraction form
    1,364.74/2,157.03 = 2,157.03/x
  3. Step 3: Cross multiply
    1,364.74x = 2,157.03 × 2,157.03
  4. Step 4: Simplify right side
    1,364.74x = 4,652,790.79
  5. Step 5: Solve for x
    x = 4,652,790.79/1,364.74
  6. Step 6: Final answer
    x = 3,409.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.