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Finding the Third Proportional to 897.50 and 1,961.63

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Solution

The third proportional to 897.50 and 1,961.63 is: 4,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,961.63 = 1,961.63 : x
  2. Step 2: Convert to fraction form
    897.50/1,961.63 = 1,961.63/x
  3. Step 3: Cross multiply
    897.50x = 1,961.63 × 1,961.63
  4. Step 4: Simplify right side
    897.50x = 3,847,972.64
  5. Step 5: Solve for x
    x = 3,847,972.64/897.50
  6. Step 6: Final answer
    x = 4,287.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.