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Finding the Third Proportional to 30,669.26 and 66,171.94

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Solution

The third proportional to 30,669.26 and 66,171.94 is: 142,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.26 : 66,171.94 = 66,171.94 : x
  2. Step 2: Convert to fraction form
    30,669.26/66,171.94 = 66,171.94/x
  3. Step 3: Cross multiply
    30,669.26x = 66,171.94 × 66,171.94
  4. Step 4: Simplify right side
    30,669.26x = 4,378,725,312.50
  5. Step 5: Solve for x
    x = 4,378,725,312.50/30,669.26
  6. Step 6: Final answer
    x = 142,772.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.