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Finding the Third Proportional to 12,124.69 and 25,894.69

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Solution

The third proportional to 12,124.69 and 25,894.69 is: 55,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.69 : 25,894.69 = 25,894.69 : x
  2. Step 2: Convert to fraction form
    12,124.69/25,894.69 = 25,894.69/x
  3. Step 3: Cross multiply
    12,124.69x = 25,894.69 × 25,894.69
  4. Step 4: Simplify right side
    12,124.69x = 670,534,840.72
  5. Step 5: Solve for x
    x = 670,534,840.72/12,124.69
  6. Step 6: Final answer
    x = 55,303.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.