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Finding the Third Proportional to 1,213.34 and 2,625.02

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Solution

The third proportional to 1,213.34 and 2,625.02 is: 5,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.34 : 2,625.02 = 2,625.02 : x
  2. Step 2: Convert to fraction form
    1,213.34/2,625.02 = 2,625.02/x
  3. Step 3: Cross multiply
    1,213.34x = 2,625.02 × 2,625.02
  4. Step 4: Simplify right side
    1,213.34x = 6,890,748.05
  5. Step 5: Solve for x
    x = 6,890,748.05/1,213.34
  6. Step 6: Final answer
    x = 5,679.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.