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Finding the Third Proportional to 11,284 and 23,300

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Solution

The third proportional to 11,284 and 23,300 is: 48,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284 : 23,300 = 23,300 : x
  2. Step 2: Convert to fraction form
    11,284/23,300 = 23,300/x
  3. Step 3: Cross multiply
    11,284x = 23,300 × 23,300
  4. Step 4: Simplify right side
    11,284x = 542,890,000
  5. Step 5: Solve for x
    x = 542,890,000/11,284
  6. Step 6: Final answer
    x = 48,111.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.