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Finding the Third Proportional to 1,588.25 and 3,381.25

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Solution

The third proportional to 1,588.25 and 3,381.25 is: 7,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.25 : 3,381.25 = 3,381.25 : x
  2. Step 2: Convert to fraction form
    1,588.25/3,381.25 = 3,381.25/x
  3. Step 3: Cross multiply
    1,588.25x = 3,381.25 × 3,381.25
  4. Step 4: Simplify right side
    1,588.25x = 11,432,851.56
  5. Step 5: Solve for x
    x = 11,432,851.56/1,588.25
  6. Step 6: Final answer
    x = 7,198.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.