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Finding the Third Proportional to 1,574.44 and 2,346.47

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Solution

The third proportional to 1,574.44 and 2,346.47 is: 3,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.44 : 2,346.47 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    1,574.44/2,346.47 = 2,346.47/x
  3. Step 3: Cross multiply
    1,574.44x = 2,346.47 × 2,346.47
  4. Step 4: Simplify right side
    1,574.44x = 5,505,915.59
  5. Step 5: Solve for x
    x = 5,505,915.59/1,574.44
  6. Step 6: Final answer
    x = 3,497.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.