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Finding the Third Proportional to 1,124.75 and 2,415.25

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Solution

The third proportional to 1,124.75 and 2,415.25 is: 5,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.75 : 2,415.25 = 2,415.25 : x
  2. Step 2: Convert to fraction form
    1,124.75/2,415.25 = 2,415.25/x
  3. Step 3: Cross multiply
    1,124.75x = 2,415.25 × 2,415.25
  4. Step 4: Simplify right side
    1,124.75x = 5,833,432.56
  5. Step 5: Solve for x
    x = 5,833,432.56/1,124.75
  6. Step 6: Final answer
    x = 5,186.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.