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Finding the Third Proportional to 24,080 and 34,684

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Solution

The third proportional to 24,080 and 34,684 is: 49,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 34,684 = 34,684 : x
  2. Step 2: Convert to fraction form
    24,080/34,684 = 34,684/x
  3. Step 3: Cross multiply
    24,080x = 34,684 × 34,684
  4. Step 4: Simplify right side
    24,080x = 1,202,979,856
  5. Step 5: Solve for x
    x = 1,202,979,856/24,080
  6. Step 6: Final answer
    x = 49,957.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.