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Finding the Third Proportional to 21,062 and 32,869

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Solution

The third proportional to 21,062 and 32,869 is: 51,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062 : 32,869 = 32,869 : x
  2. Step 2: Convert to fraction form
    21,062/32,869 = 32,869/x
  3. Step 3: Cross multiply
    21,062x = 32,869 × 32,869
  4. Step 4: Simplify right side
    21,062x = 1,080,371,161
  5. Step 5: Solve for x
    x = 1,080,371,161/21,062
  6. Step 6: Final answer
    x = 51,294.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.