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Finding the Third Proportional to 991.75 and 2,145.25

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Solution

The third proportional to 991.75 and 2,145.25 is: 4,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.75 : 2,145.25 = 2,145.25 : x
  2. Step 2: Convert to fraction form
    991.75/2,145.25 = 2,145.25/x
  3. Step 3: Cross multiply
    991.75x = 2,145.25 × 2,145.25
  4. Step 4: Simplify right side
    991.75x = 4,602,097.56
  5. Step 5: Solve for x
    x = 4,602,097.56/991.75
  6. Step 6: Final answer
    x = 4,640.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.