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Finding the Third Proportional to 7,125 and 14,007

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Solution

The third proportional to 7,125 and 14,007 is: 27,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125 : 14,007 = 14,007 : x
  2. Step 2: Convert to fraction form
    7,125/14,007 = 14,007/x
  3. Step 3: Cross multiply
    7,125x = 14,007 × 14,007
  4. Step 4: Simplify right side
    7,125x = 196,196,049
  5. Step 5: Solve for x
    x = 196,196,049/7,125
  6. Step 6: Final answer
    x = 27,536.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.