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Finding the Third Proportional to 1,437.75 and 3,052.27

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Solution

The third proportional to 1,437.75 and 3,052.27 is: 6,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.75 : 3,052.27 = 3,052.27 : x
  2. Step 2: Convert to fraction form
    1,437.75/3,052.27 = 3,052.27/x
  3. Step 3: Cross multiply
    1,437.75x = 3,052.27 × 3,052.27
  4. Step 4: Simplify right side
    1,437.75x = 9,316,325.45
  5. Step 5: Solve for x
    x = 9,316,325.45/1,437.75
  6. Step 6: Final answer
    x = 6,479.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.