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Finding the Third Proportional to 955.63 and 1,972.63

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Solution

The third proportional to 955.63 and 1,972.63 is: 4,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.63 : 1,972.63 = 1,972.63 : x
  2. Step 2: Convert to fraction form
    955.63/1,972.63 = 1,972.63/x
  3. Step 3: Cross multiply
    955.63x = 1,972.63 × 1,972.63
  4. Step 4: Simplify right side
    955.63x = 3,891,249.39
  5. Step 5: Solve for x
    x = 3,891,249.39/955.63
  6. Step 6: Final answer
    x = 4,071.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.