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Finding the Third Proportional to 1,212.79 and 2,598.54

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Solution

The third proportional to 1,212.79 and 2,598.54 is: 5,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.79 : 2,598.54 = 2,598.54 : x
  2. Step 2: Convert to fraction form
    1,212.79/2,598.54 = 2,598.54/x
  3. Step 3: Cross multiply
    1,212.79x = 2,598.54 × 2,598.54
  4. Step 4: Simplify right side
    1,212.79x = 6,752,405.26
  5. Step 5: Solve for x
    x = 6,752,405.26/1,212.79
  6. Step 6: Final answer
    x = 5,567.68

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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.