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Finding the Third Proportional to 10,749.63 and 16,286.63

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Solution

The third proportional to 10,749.63 and 16,286.63 is: 24,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.63 : 16,286.63 = 16,286.63 : x
  2. Step 2: Convert to fraction form
    10,749.63/16,286.63 = 16,286.63/x
  3. Step 3: Cross multiply
    10,749.63x = 16,286.63 × 16,286.63
  4. Step 4: Simplify right side
    10,749.63x = 265,254,153.89
  5. Step 5: Solve for x
    x = 265,254,153.89/10,749.63
  6. Step 6: Final answer
    x = 24,675.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.