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Finding the Third Proportional to 30,165.94 and 39,668.34

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Solution

The third proportional to 30,165.94 and 39,668.34 is: 52,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.94 : 39,668.34 = 39,668.34 : x
  2. Step 2: Convert to fraction form
    30,165.94/39,668.34 = 39,668.34/x
  3. Step 3: Cross multiply
    30,165.94x = 39,668.34 × 39,668.34
  4. Step 4: Simplify right side
    30,165.94x = 1,573,577,495.87
  5. Step 5: Solve for x
    x = 1,573,577,495.87/30,165.94
  6. Step 6: Final answer
    x = 52,164.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.