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Finding the Third Proportional to 12,148 and 26,311

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Solution

The third proportional to 12,148 and 26,311 is: 56,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148 : 26,311 = 26,311 : x
  2. Step 2: Convert to fraction form
    12,148/26,311 = 26,311/x
  3. Step 3: Cross multiply
    12,148x = 26,311 × 26,311
  4. Step 4: Simplify right side
    12,148x = 692,268,721
  5. Step 5: Solve for x
    x = 692,268,721/12,148
  6. Step 6: Final answer
    x = 56,986.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.