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Finding the Third Proportional to 23,087 and 53,951

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Solution

The third proportional to 23,087 and 53,951 is: 126,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,087 : 53,951 = 53,951 : x
  2. Step 2: Convert to fraction form
    23,087/53,951 = 53,951/x
  3. Step 3: Cross multiply
    23,087x = 53,951 × 53,951
  4. Step 4: Simplify right side
    23,087x = 2,910,710,401
  5. Step 5: Solve for x
    x = 2,910,710,401/23,087
  6. Step 6: Final answer
    x = 126,075.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.