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Finding the Third Proportional to 907.03 and 1,965.94

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Solution

The third proportional to 907.03 and 1,965.94 is: 4,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.03 : 1,965.94 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    907.03/1,965.94 = 1,965.94/x
  3. Step 3: Cross multiply
    907.03x = 1,965.94 × 1,965.94
  4. Step 4: Simplify right side
    907.03x = 3,864,910.25
  5. Step 5: Solve for x
    x = 3,864,910.25/907.03
  6. Step 6: Final answer
    x = 4,261.06

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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.