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Finding the Third Proportional to 7,646.75 and 16,751.38

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Solution

The third proportional to 7,646.75 and 16,751.38 is: 36,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.75 : 16,751.38 = 16,751.38 : x
  2. Step 2: Convert to fraction form
    7,646.75/16,751.38 = 16,751.38/x
  3. Step 3: Cross multiply
    7,646.75x = 16,751.38 × 16,751.38
  4. Step 4: Simplify right side
    7,646.75x = 280,608,564.39
  5. Step 5: Solve for x
    x = 280,608,564.39/7,646.75
  6. Step 6: Final answer
    x = 36,696.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.