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Finding the Third Proportional to 7,530 and 16,106

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Solution

The third proportional to 7,530 and 16,106 is: 34,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530 : 16,106 = 16,106 : x
  2. Step 2: Convert to fraction form
    7,530/16,106 = 16,106/x
  3. Step 3: Cross multiply
    7,530x = 16,106 × 16,106
  4. Step 4: Simplify right side
    7,530x = 259,403,236
  5. Step 5: Solve for x
    x = 259,403,236/7,530
  6. Step 6: Final answer
    x = 34,449.30

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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.