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Finding the Third Proportional to 7,551.38 and 16,196.63

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Solution

The third proportional to 7,551.38 and 16,196.63 is: 34,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.38 : 16,196.63 = 16,196.63 : x
  2. Step 2: Convert to fraction form
    7,551.38/16,196.63 = 16,196.63/x
  3. Step 3: Cross multiply
    7,551.38x = 16,196.63 × 16,196.63
  4. Step 4: Simplify right side
    7,551.38x = 262,330,661.39
  5. Step 5: Solve for x
    x = 262,330,661.39/7,551.38
  6. Step 6: Final answer
    x = 34,739.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.