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Finding the Third Proportional to 7,512.12 and 16,328.46

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Solution

The third proportional to 7,512.12 and 16,328.46 is: 35,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.12 : 16,328.46 = 16,328.46 : x
  2. Step 2: Convert to fraction form
    7,512.12/16,328.46 = 16,328.46/x
  3. Step 3: Cross multiply
    7,512.12x = 16,328.46 × 16,328.46
  4. Step 4: Simplify right side
    7,512.12x = 266,618,636.59
  5. Step 5: Solve for x
    x = 266,618,636.59/7,512.12
  6. Step 6: Final answer
    x = 35,491.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.