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Finding the Third Proportional to 1,444.03 and 3,113.25

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Solution

The third proportional to 1,444.03 and 3,113.25 is: 6,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.03 : 3,113.25 = 3,113.25 : x
  2. Step 2: Convert to fraction form
    1,444.03/3,113.25 = 3,113.25/x
  3. Step 3: Cross multiply
    1,444.03x = 3,113.25 × 3,113.25
  4. Step 4: Simplify right side
    1,444.03x = 9,692,325.56
  5. Step 5: Solve for x
    x = 9,692,325.56/1,444.03
  6. Step 6: Final answer
    x = 6,711.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.