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Finding the Third Proportional to 1,246.50 and 1,903.22

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Solution

The third proportional to 1,246.50 and 1,903.22 is: 2,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.50 : 1,903.22 = 1,903.22 : x
  2. Step 2: Convert to fraction form
    1,246.50/1,903.22 = 1,903.22/x
  3. Step 3: Cross multiply
    1,246.50x = 1,903.22 × 1,903.22
  4. Step 4: Simplify right side
    1,246.50x = 3,622,241.61
  5. Step 5: Solve for x
    x = 3,622,241.61/1,246.50
  6. Step 6: Final answer
    x = 2,905.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.