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Finding the Third Proportional to 2,338.64 and 3,556.01

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Solution

The third proportional to 2,338.64 and 3,556.01 is: 5,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.64 : 3,556.01 = 3,556.01 : x
  2. Step 2: Convert to fraction form
    2,338.64/3,556.01 = 3,556.01/x
  3. Step 3: Cross multiply
    2,338.64x = 3,556.01 × 3,556.01
  4. Step 4: Simplify right side
    2,338.64x = 12,645,212.40
  5. Step 5: Solve for x
    x = 12,645,212.40/2,338.64
  6. Step 6: Final answer
    x = 5,407.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.