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Finding the Third Proportional to 12,056 and 26,116.75

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Solution

The third proportional to 12,056 and 26,116.75 is: 56,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056 : 26,116.75 = 26,116.75 : x
  2. Step 2: Convert to fraction form
    12,056/26,116.75 = 26,116.75/x
  3. Step 3: Cross multiply
    12,056x = 26,116.75 × 26,116.75
  4. Step 4: Simplify right side
    12,056x = 682,084,630.56
  5. Step 5: Solve for x
    x = 682,084,630.56/12,056
  6. Step 6: Final answer
    x = 56,576.36

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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.