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Finding the Third Proportional to 19,717 and 30,439.50

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Solution

The third proportional to 19,717 and 30,439.50 is: 46,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717 : 30,439.50 = 30,439.50 : x
  2. Step 2: Convert to fraction form
    19,717/30,439.50 = 30,439.50/x
  3. Step 3: Cross multiply
    19,717x = 30,439.50 × 30,439.50
  4. Step 4: Simplify right side
    19,717x = 926,563,160.25
  5. Step 5: Solve for x
    x = 926,563,160.25/19,717
  6. Step 6: Final answer
    x = 46,993.11

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Why These Related Problems?

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