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Finding the Third Proportional to 26,109 and 42,030

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Solution

The third proportional to 26,109 and 42,030 is: 67,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,109 : 42,030 = 42,030 : x
  2. Step 2: Convert to fraction form
    26,109/42,030 = 42,030/x
  3. Step 3: Cross multiply
    26,109x = 42,030 × 42,030
  4. Step 4: Simplify right side
    26,109x = 1,766,520,900
  5. Step 5: Solve for x
    x = 1,766,520,900/26,109
  6. Step 6: Final answer
    x = 67,659.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.