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Finding the Third Proportional to 1,434.56 and 1,913.06

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Solution

The third proportional to 1,434.56 and 1,913.06 is: 2,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.56 : 1,913.06 = 1,913.06 : x
  2. Step 2: Convert to fraction form
    1,434.56/1,913.06 = 1,913.06/x
  3. Step 3: Cross multiply
    1,434.56x = 1,913.06 × 1,913.06
  4. Step 4: Simplify right side
    1,434.56x = 3,659,808.13
  5. Step 5: Solve for x
    x = 3,659,808.13/1,434.56
  6. Step 6: Final answer
    x = 2,551.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.