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Finding the Third Proportional to 19,784 and 30,405

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Solution

The third proportional to 19,784 and 30,405 is: 46,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 30,405 = 30,405 : x
  2. Step 2: Convert to fraction form
    19,784/30,405 = 30,405/x
  3. Step 3: Cross multiply
    19,784x = 30,405 × 30,405
  4. Step 4: Simplify right side
    19,784x = 924,464,025
  5. Step 5: Solve for x
    x = 924,464,025/19,784
  6. Step 6: Final answer
    x = 46,727.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.