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Finding the Third Proportional to 15,984 and 28,000

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Solution

The third proportional to 15,984 and 28,000 is: 49,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 28,000 = 28,000 : x
  2. Step 2: Convert to fraction form
    15,984/28,000 = 28,000/x
  3. Step 3: Cross multiply
    15,984x = 28,000 × 28,000
  4. Step 4: Simplify right side
    15,984x = 784,000,000
  5. Step 5: Solve for x
    x = 784,000,000/15,984
  6. Step 6: Final answer
    x = 49,049.05

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.