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Finding the Third Proportional to 30,673.50 and 66,179.63

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Solution

The third proportional to 30,673.50 and 66,179.63 is: 142,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.50 : 66,179.63 = 66,179.63 : x
  2. Step 2: Convert to fraction form
    30,673.50/66,179.63 = 66,179.63/x
  3. Step 3: Cross multiply
    30,673.50x = 66,179.63 × 66,179.63
  4. Step 4: Simplify right side
    30,673.50x = 4,379,742,765.14
  5. Step 5: Solve for x
    x = 4,379,742,765.14/30,673.50
  6. Step 6: Final answer
    x = 142,785.88

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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.