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Finding the Third Proportional to 1,588.99 and 2,480.31

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Solution

The third proportional to 1,588.99 and 2,480.31 is: 3,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.99 : 2,480.31 = 2,480.31 : x
  2. Step 2: Convert to fraction form
    1,588.99/2,480.31 = 2,480.31/x
  3. Step 3: Cross multiply
    1,588.99x = 2,480.31 × 2,480.31
  4. Step 4: Simplify right side
    1,588.99x = 6,151,930.72
  5. Step 5: Solve for x
    x = 6,151,930.72/1,588.99
  6. Step 6: Final answer
    x = 3,871.59

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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.