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Finding the Third Proportional to 14,133 and 30,723

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Solution

The third proportional to 14,133 and 30,723 is: 66,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133 : 30,723 = 30,723 : x
  2. Step 2: Convert to fraction form
    14,133/30,723 = 30,723/x
  3. Step 3: Cross multiply
    14,133x = 30,723 × 30,723
  4. Step 4: Simplify right side
    14,133x = 943,902,729
  5. Step 5: Solve for x
    x = 943,902,729/14,133
  6. Step 6: Final answer
    x = 66,787.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.