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Finding the Third Proportional to 23,528 and 34,408

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Solution

The third proportional to 23,528 and 34,408 is: 50,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 34,408 = 34,408 : x
  2. Step 2: Convert to fraction form
    23,528/34,408 = 34,408/x
  3. Step 3: Cross multiply
    23,528x = 34,408 × 34,408
  4. Step 4: Simplify right side
    23,528x = 1,183,910,464
  5. Step 5: Solve for x
    x = 1,183,910,464/23,528
  6. Step 6: Final answer
    x = 50,319.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.