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Finding the Third Proportional to 26,935 and 59,000

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Solution

The third proportional to 26,935 and 59,000 is: 129,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,935 : 59,000 = 59,000 : x
  2. Step 2: Convert to fraction form
    26,935/59,000 = 59,000/x
  3. Step 3: Cross multiply
    26,935x = 59,000 × 59,000
  4. Step 4: Simplify right side
    26,935x = 3,481,000,000
  5. Step 5: Solve for x
    x = 3,481,000,000/26,935
  6. Step 6: Final answer
    x = 129,237.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.