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Finding the Third Proportional to 21,212 and 32,376

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Solution

The third proportional to 21,212 and 32,376 is: 49,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 32,376 = 32,376 : x
  2. Step 2: Convert to fraction form
    21,212/32,376 = 32,376/x
  3. Step 3: Cross multiply
    21,212x = 32,376 × 32,376
  4. Step 4: Simplify right side
    21,212x = 1,048,205,376
  5. Step 5: Solve for x
    x = 1,048,205,376/21,212
  6. Step 6: Final answer
    x = 49,415.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.