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Finding the Third Proportional to 30,696 and 63,576

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Solution

The third proportional to 30,696 and 63,576 is: 131,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 63,576 = 63,576 : x
  2. Step 2: Convert to fraction form
    30,696/63,576 = 63,576/x
  3. Step 3: Cross multiply
    30,696x = 63,576 × 63,576
  4. Step 4: Simplify right side
    30,696x = 4,041,907,776
  5. Step 5: Solve for x
    x = 4,041,907,776/30,696
  6. Step 6: Final answer
    x = 131,675.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.