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Finding the Third Proportional to 999.63 and 2,185.25

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Solution

The third proportional to 999.63 and 2,185.25 is: 4,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.63 : 2,185.25 = 2,185.25 : x
  2. Step 2: Convert to fraction form
    999.63/2,185.25 = 2,185.25/x
  3. Step 3: Cross multiply
    999.63x = 2,185.25 × 2,185.25
  4. Step 4: Simplify right side
    999.63x = 4,775,317.56
  5. Step 5: Solve for x
    x = 4,775,317.56/999.63
  6. Step 6: Final answer
    x = 4,777.11

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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.