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Finding the Third Proportional to 1,214.37 and 2,601.49

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Solution

The third proportional to 1,214.37 and 2,601.49 is: 5,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.37 : 2,601.49 = 2,601.49 : x
  2. Step 2: Convert to fraction form
    1,214.37/2,601.49 = 2,601.49/x
  3. Step 3: Cross multiply
    1,214.37x = 2,601.49 × 2,601.49
  4. Step 4: Simplify right side
    1,214.37x = 6,767,761.60
  5. Step 5: Solve for x
    x = 6,767,761.60/1,214.37
  6. Step 6: Final answer
    x = 5,573.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.