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Finding the Third Proportional to 30,886 and 67,556

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Solution

The third proportional to 30,886 and 67,556 is: 147,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886 : 67,556 = 67,556 : x
  2. Step 2: Convert to fraction form
    30,886/67,556 = 67,556/x
  3. Step 3: Cross multiply
    30,886x = 67,556 × 67,556
  4. Step 4: Simplify right side
    30,886x = 4,563,813,136
  5. Step 5: Solve for x
    x = 4,563,813,136/30,886
  6. Step 6: Final answer
    x = 147,763.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.