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Finding the Third Proportional to 1,725.05 and 2,293.95

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Solution

The third proportional to 1,725.05 and 2,293.95 is: 3,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.05 : 2,293.95 = 2,293.95 : x
  2. Step 2: Convert to fraction form
    1,725.05/2,293.95 = 2,293.95/x
  3. Step 3: Cross multiply
    1,725.05x = 2,293.95 × 2,293.95
  4. Step 4: Simplify right side
    1,725.05x = 5,262,185.10
  5. Step 5: Solve for x
    x = 5,262,185.10/1,725.05
  6. Step 6: Final answer
    x = 3,050.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.