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Finding the Third Proportional to 7,914 and 16,276

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Solution

The third proportional to 7,914 and 16,276 is: 33,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 16,276 = 16,276 : x
  2. Step 2: Convert to fraction form
    7,914/16,276 = 16,276/x
  3. Step 3: Cross multiply
    7,914x = 16,276 × 16,276
  4. Step 4: Simplify right side
    7,914x = 264,908,176
  5. Step 5: Solve for x
    x = 264,908,176/7,914
  6. Step 6: Final answer
    x = 33,473.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.