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Finding the Third Proportional to 965.25 and 1,577.25

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Solution

The third proportional to 965.25 and 1,577.25 is: 2,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.25 : 1,577.25 = 1,577.25 : x
  2. Step 2: Convert to fraction form
    965.25/1,577.25 = 1,577.25/x
  3. Step 3: Cross multiply
    965.25x = 1,577.25 × 1,577.25
  4. Step 4: Simplify right side
    965.25x = 2,487,717.56
  5. Step 5: Solve for x
    x = 2,487,717.56/965.25
  6. Step 6: Final answer
    x = 2,577.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.