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Finding the Third Proportional to 23,026 and 51,270

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Solution

The third proportional to 23,026 and 51,270 is: 114,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026 : 51,270 = 51,270 : x
  2. Step 2: Convert to fraction form
    23,026/51,270 = 51,270/x
  3. Step 3: Cross multiply
    23,026x = 51,270 × 51,270
  4. Step 4: Simplify right side
    23,026x = 2,628,612,900
  5. Step 5: Solve for x
    x = 2,628,612,900/23,026
  6. Step 6: Final answer
    x = 114,158.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.