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Finding the Third Proportional to 1,617.47 and 2,556.48

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Solution

The third proportional to 1,617.47 and 2,556.48 is: 4,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.47 : 2,556.48 = 2,556.48 : x
  2. Step 2: Convert to fraction form
    1,617.47/2,556.48 = 2,556.48/x
  3. Step 3: Cross multiply
    1,617.47x = 2,556.48 × 2,556.48
  4. Step 4: Simplify right side
    1,617.47x = 6,535,607.37
  5. Step 5: Solve for x
    x = 6,535,607.37/1,617.47
  6. Step 6: Final answer
    x = 4,040.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.