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Finding the Third Proportional to 21,369 and 32,053

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Solution

The third proportional to 21,369 and 32,053 is: 48,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369 : 32,053 = 32,053 : x
  2. Step 2: Convert to fraction form
    21,369/32,053 = 32,053/x
  3. Step 3: Cross multiply
    21,369x = 32,053 × 32,053
  4. Step 4: Simplify right side
    21,369x = 1,027,394,809
  5. Step 5: Solve for x
    x = 1,027,394,809/21,369
  6. Step 6: Final answer
    x = 48,078.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.