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Finding the Third Proportional to 7,551.75 and 16,265.63

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Solution

The third proportional to 7,551.75 and 16,265.63 is: 35,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.75 : 16,265.63 = 16,265.63 : x
  2. Step 2: Convert to fraction form
    7,551.75/16,265.63 = 16,265.63/x
  3. Step 3: Cross multiply
    7,551.75x = 16,265.63 × 16,265.63
  4. Step 4: Simplify right side
    7,551.75x = 264,570,556.64
  5. Step 5: Solve for x
    x = 264,570,556.64/7,551.75
  6. Step 6: Final answer
    x = 35,034.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.