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Finding the Third Proportional to 11,946.38 and 25,315.88

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Solution

The third proportional to 11,946.38 and 25,315.88 is: 53,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.38 : 25,315.88 = 25,315.88 : x
  2. Step 2: Convert to fraction form
    11,946.38/25,315.88 = 25,315.88/x
  3. Step 3: Cross multiply
    11,946.38x = 25,315.88 × 25,315.88
  4. Step 4: Simplify right side
    11,946.38x = 640,893,527.02
  5. Step 5: Solve for x
    x = 640,893,527.02/11,946.38
  6. Step 6: Final answer
    x = 53,647.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.