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Finding the Third Proportional to 21,434.50 and 33,379

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Solution

The third proportional to 21,434.50 and 33,379 is: 51,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.50 : 33,379 = 33,379 : x
  2. Step 2: Convert to fraction form
    21,434.50/33,379 = 33,379/x
  3. Step 3: Cross multiply
    21,434.50x = 33,379 × 33,379
  4. Step 4: Simplify right side
    21,434.50x = 1,114,157,641
  5. Step 5: Solve for x
    x = 1,114,157,641/21,434.50
  6. Step 6: Final answer
    x = 51,979.64

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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.