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Finding the Third Proportional to 2,903.81 and 4,362.28

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Solution

The third proportional to 2,903.81 and 4,362.28 is: 6,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.81 : 4,362.28 = 4,362.28 : x
  2. Step 2: Convert to fraction form
    2,903.81/4,362.28 = 4,362.28/x
  3. Step 3: Cross multiply
    2,903.81x = 4,362.28 × 4,362.28
  4. Step 4: Simplify right side
    2,903.81x = 19,029,497.70
  5. Step 5: Solve for x
    x = 19,029,497.70/2,903.81
  6. Step 6: Final answer
    x = 6,553.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.