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Finding the Third Proportional to 9,672 and 16,844

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Solution

The third proportional to 9,672 and 16,844 is: 29,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 16,844 = 16,844 : x
  2. Step 2: Convert to fraction form
    9,672/16,844 = 16,844/x
  3. Step 3: Cross multiply
    9,672x = 16,844 × 16,844
  4. Step 4: Simplify right side
    9,672x = 283,720,336
  5. Step 5: Solve for x
    x = 283,720,336/9,672
  6. Step 6: Final answer
    x = 29,334.20

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.