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Finding the Third Proportional to 21,030 and 30,809

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Solution

The third proportional to 21,030 and 30,809 is: 45,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030 : 30,809 = 30,809 : x
  2. Step 2: Convert to fraction form
    21,030/30,809 = 30,809/x
  3. Step 3: Cross multiply
    21,030x = 30,809 × 30,809
  4. Step 4: Simplify right side
    21,030x = 949,194,481
  5. Step 5: Solve for x
    x = 949,194,481/21,030
  6. Step 6: Final answer
    x = 45,135.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.