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Finding the Third Proportional to 1,473 and 3,405

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Solution

The third proportional to 1,473 and 3,405 is: 7,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473 : 3,405 = 3,405 : x
  2. Step 2: Convert to fraction form
    1,473/3,405 = 3,405/x
  3. Step 3: Cross multiply
    1,473x = 3,405 × 3,405
  4. Step 4: Simplify right side
    1,473x = 11,594,025
  5. Step 5: Solve for x
    x = 11,594,025/1,473
  6. Step 6: Final answer
    x = 7,871.03

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.