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Finding the Third Proportional to 11,894.63 and 25,907.63

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Solution

The third proportional to 11,894.63 and 25,907.63 is: 56,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.63 : 25,907.63 = 25,907.63 : x
  2. Step 2: Convert to fraction form
    11,894.63/25,907.63 = 25,907.63/x
  3. Step 3: Cross multiply
    11,894.63x = 25,907.63 × 25,907.63
  4. Step 4: Simplify right side
    11,894.63x = 671,205,033.14
  5. Step 5: Solve for x
    x = 671,205,033.14/11,894.63
  6. Step 6: Final answer
    x = 56,429.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.