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Finding the Third Proportional to 12,389.63 and 25,804.88

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Solution

The third proportional to 12,389.63 and 25,804.88 is: 53,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.63 : 25,804.88 = 25,804.88 : x
  2. Step 2: Convert to fraction form
    12,389.63/25,804.88 = 25,804.88/x
  3. Step 3: Cross multiply
    12,389.63x = 25,804.88 × 25,804.88
  4. Step 4: Simplify right side
    12,389.63x = 665,891,573.77
  5. Step 5: Solve for x
    x = 665,891,573.77/12,389.63
  6. Step 6: Final answer
    x = 53,745.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.