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Finding the Third Proportional to 21,408 and 32,052

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Solution

The third proportional to 21,408 and 32,052 is: 47,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408 : 32,052 = 32,052 : x
  2. Step 2: Convert to fraction form
    21,408/32,052 = 32,052/x
  3. Step 3: Cross multiply
    21,408x = 32,052 × 32,052
  4. Step 4: Simplify right side
    21,408x = 1,027,330,704
  5. Step 5: Solve for x
    x = 1,027,330,704/21,408
  6. Step 6: Final answer
    x = 47,988.17

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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.