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Finding the Third Proportional to 1,306.97 and 2,905.03

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Solution

The third proportional to 1,306.97 and 2,905.03 is: 6,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.97 : 2,905.03 = 2,905.03 : x
  2. Step 2: Convert to fraction form
    1,306.97/2,905.03 = 2,905.03/x
  3. Step 3: Cross multiply
    1,306.97x = 2,905.03 × 2,905.03
  4. Step 4: Simplify right side
    1,306.97x = 8,439,206.56
  5. Step 5: Solve for x
    x = 8,439,206.56/1,306.97
  6. Step 6: Final answer
    x = 6,457.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.