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Finding the Third Proportional to 1,374.47 and 3,055.64

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Solution

The third proportional to 1,374.47 and 3,055.64 is: 6,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.47 : 3,055.64 = 3,055.64 : x
  2. Step 2: Convert to fraction form
    1,374.47/3,055.64 = 3,055.64/x
  3. Step 3: Cross multiply
    1,374.47x = 3,055.64 × 3,055.64
  4. Step 4: Simplify right side
    1,374.47x = 9,336,939.63
  5. Step 5: Solve for x
    x = 9,336,939.63/1,374.47
  6. Step 6: Final answer
    x = 6,793.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.