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Finding the Third Proportional to 1,903.13 and 4,410.56

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Solution

The third proportional to 1,903.13 and 4,410.56 is: 10,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.13 : 4,410.56 = 4,410.56 : x
  2. Step 2: Convert to fraction form
    1,903.13/4,410.56 = 4,410.56/x
  3. Step 3: Cross multiply
    1,903.13x = 4,410.56 × 4,410.56
  4. Step 4: Simplify right side
    1,903.13x = 19,453,061.57
  5. Step 5: Solve for x
    x = 19,453,061.57/1,903.13
  6. Step 6: Final answer
    x = 10,221.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.