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Finding the Third Proportional to 1,970.75 and 4,274.75

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Solution

The third proportional to 1,970.75 and 4,274.75 is: 9,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.75 : 4,274.75 = 4,274.75 : x
  2. Step 2: Convert to fraction form
    1,970.75/4,274.75 = 4,274.75/x
  3. Step 3: Cross multiply
    1,970.75x = 4,274.75 × 4,274.75
  4. Step 4: Simplify right side
    1,970.75x = 18,273,487.56
  5. Step 5: Solve for x
    x = 18,273,487.56/1,970.75
  6. Step 6: Final answer
    x = 9,272.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.