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Finding the Third Proportional to 1,903.18 and 4,405.64

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Solution

The third proportional to 1,903.18 and 4,405.64 is: 10,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.18 : 4,405.64 = 4,405.64 : x
  2. Step 2: Convert to fraction form
    1,903.18/4,405.64 = 4,405.64/x
  3. Step 3: Cross multiply
    1,903.18x = 4,405.64 × 4,405.64
  4. Step 4: Simplify right side
    1,903.18x = 19,409,669.32
  5. Step 5: Solve for x
    x = 19,409,669.32/1,903.18
  6. Step 6: Final answer
    x = 10,198.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.