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Finding the Third Proportional to 11,658.94 and 25,137.84

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Solution

The third proportional to 11,658.94 and 25,137.84 is: 54,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.94 : 25,137.84 = 25,137.84 : x
  2. Step 2: Convert to fraction form
    11,658.94/25,137.84 = 25,137.84/x
  3. Step 3: Cross multiply
    11,658.94x = 25,137.84 × 25,137.84
  4. Step 4: Simplify right side
    11,658.94x = 631,911,188.40
  5. Step 5: Solve for x
    x = 631,911,188.40/11,658.94
  6. Step 6: Final answer
    x = 54,199.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.