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Finding the Third Proportional to 6,504.05 and 10,120.57

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Solution

The third proportional to 6,504.05 and 10,120.57 is: 15,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.05 : 10,120.57 = 10,120.57 : x
  2. Step 2: Convert to fraction form
    6,504.05/10,120.57 = 10,120.57/x
  3. Step 3: Cross multiply
    6,504.05x = 10,120.57 × 10,120.57
  4. Step 4: Simplify right side
    6,504.05x = 102,425,943.45
  5. Step 5: Solve for x
    x = 102,425,943.45/6,504.05
  6. Step 6: Final answer
    x = 15,748.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.