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Finding the Third Proportional to 14,041.69 and 30,673.69

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Solution

The third proportional to 14,041.69 and 30,673.69 is: 67,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.69 : 30,673.69 = 30,673.69 : x
  2. Step 2: Convert to fraction form
    14,041.69/30,673.69 = 30,673.69/x
  3. Step 3: Cross multiply
    14,041.69x = 30,673.69 × 30,673.69
  4. Step 4: Simplify right side
    14,041.69x = 940,875,104.85
  5. Step 5: Solve for x
    x = 940,875,104.85/14,041.69
  6. Step 6: Final answer
    x = 67,005.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.