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Finding the Third Proportional to 11,400 and 26,380

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Solution

The third proportional to 11,400 and 26,380 is: 61,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400 : 26,380 = 26,380 : x
  2. Step 2: Convert to fraction form
    11,400/26,380 = 26,380/x
  3. Step 3: Cross multiply
    11,400x = 26,380 × 26,380
  4. Step 4: Simplify right side
    11,400x = 695,904,400
  5. Step 5: Solve for x
    x = 695,904,400/11,400
  6. Step 6: Final answer
    x = 61,044.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.