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Finding the Third Proportional to 11,704.63 and 25,598.88

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Solution

The third proportional to 11,704.63 and 25,598.88 is: 55,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.63 : 25,598.88 = 25,598.88 : x
  2. Step 2: Convert to fraction form
    11,704.63/25,598.88 = 25,598.88/x
  3. Step 3: Cross multiply
    11,704.63x = 25,598.88 × 25,598.88
  4. Step 4: Simplify right side
    11,704.63x = 655,302,401.27
  5. Step 5: Solve for x
    x = 655,302,401.27/11,704.63
  6. Step 6: Final answer
    x = 55,986.62

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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.