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Finding the Third Proportional to 21,133 and 30,707

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Solution

The third proportional to 21,133 and 30,707 is: 44,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 30,707 = 30,707 : x
  2. Step 2: Convert to fraction form
    21,133/30,707 = 30,707/x
  3. Step 3: Cross multiply
    21,133x = 30,707 × 30,707
  4. Step 4: Simplify right side
    21,133x = 942,919,849
  5. Step 5: Solve for x
    x = 942,919,849/21,133
  6. Step 6: Final answer
    x = 44,618.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.