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Finding the Third Proportional to 23,421 and 35,132

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Solution

The third proportional to 23,421 and 35,132 is: 52,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421 : 35,132 = 35,132 : x
  2. Step 2: Convert to fraction form
    23,421/35,132 = 35,132/x
  3. Step 3: Cross multiply
    23,421x = 35,132 × 35,132
  4. Step 4: Simplify right side
    23,421x = 1,234,257,424
  5. Step 5: Solve for x
    x = 1,234,257,424/23,421
  6. Step 6: Final answer
    x = 52,698.75

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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.