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Finding the Third Proportional to 29,678 and 69,011

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Solution

The third proportional to 29,678 and 69,011 is: 160,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678 : 69,011 = 69,011 : x
  2. Step 2: Convert to fraction form
    29,678/69,011 = 69,011/x
  3. Step 3: Cross multiply
    29,678x = 69,011 × 69,011
  4. Step 4: Simplify right side
    29,678x = 4,762,518,121
  5. Step 5: Solve for x
    x = 4,762,518,121/29,678
  6. Step 6: Final answer
    x = 160,473.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.