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Finding the Third Proportional to 10,826 and 17,220

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Solution

The third proportional to 10,826 and 17,220 is: 27,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 17,220 = 17,220 : x
  2. Step 2: Convert to fraction form
    10,826/17,220 = 17,220/x
  3. Step 3: Cross multiply
    10,826x = 17,220 × 17,220
  4. Step 4: Simplify right side
    10,826x = 296,528,400
  5. Step 5: Solve for x
    x = 296,528,400/10,826
  6. Step 6: Final answer
    x = 27,390.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.