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Finding the Third Proportional to 24,080 and 33,900

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Solution

The third proportional to 24,080 and 33,900 is: 47,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 33,900 = 33,900 : x
  2. Step 2: Convert to fraction form
    24,080/33,900 = 33,900/x
  3. Step 3: Cross multiply
    24,080x = 33,900 × 33,900
  4. Step 4: Simplify right side
    24,080x = 1,149,210,000
  5. Step 5: Solve for x
    x = 1,149,210,000/24,080
  6. Step 6: Final answer
    x = 47,724.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.