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Finding the Third Proportional to 51,027 and 76,590

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Solution

The third proportional to 51,027 and 76,590 is: 114,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,027 : 76,590 = 76,590 : x
  2. Step 2: Convert to fraction form
    51,027/76,590 = 76,590/x
  3. Step 3: Cross multiply
    51,027x = 76,590 × 76,590
  4. Step 4: Simplify right side
    51,027x = 5,866,028,100
  5. Step 5: Solve for x
    x = 5,866,028,100/51,027
  6. Step 6: Final answer
    x = 114,959.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.