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Finding the Third Proportional to 33,316 and 69,710

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Solution

The third proportional to 33,316 and 69,710 is: 145,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316 : 69,710 = 69,710 : x
  2. Step 2: Convert to fraction form
    33,316/69,710 = 69,710/x
  3. Step 3: Cross multiply
    33,316x = 69,710 × 69,710
  4. Step 4: Simplify right side
    33,316x = 4,859,484,100
  5. Step 5: Solve for x
    x = 4,859,484,100/33,316
  6. Step 6: Final answer
    x = 145,860.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.