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Finding the Third Proportional to 7,106 and 14,669

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Solution

The third proportional to 7,106 and 14,669 is: 30,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106 : 14,669 = 14,669 : x
  2. Step 2: Convert to fraction form
    7,106/14,669 = 14,669/x
  3. Step 3: Cross multiply
    7,106x = 14,669 × 14,669
  4. Step 4: Simplify right side
    7,106x = 215,179,561
  5. Step 5: Solve for x
    x = 215,179,561/7,106
  6. Step 6: Final answer
    x = 30,281.39

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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.