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Finding the Third Proportional to 13,959 and 28,323

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Solution

The third proportional to 13,959 and 28,323 is: 57,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959 : 28,323 = 28,323 : x
  2. Step 2: Convert to fraction form
    13,959/28,323 = 28,323/x
  3. Step 3: Cross multiply
    13,959x = 28,323 × 28,323
  4. Step 4: Simplify right side
    13,959x = 802,192,329
  5. Step 5: Solve for x
    x = 802,192,329/13,959
  6. Step 6: Final answer
    x = 57,467.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.