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Finding the Third Proportional to 7,813.97 and 15,946.88

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Solution

The third proportional to 7,813.97 and 15,946.88 is: 32,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.97 : 15,946.88 = 15,946.88 : x
  2. Step 2: Convert to fraction form
    7,813.97/15,946.88 = 15,946.88/x
  3. Step 3: Cross multiply
    7,813.97x = 15,946.88 × 15,946.88
  4. Step 4: Simplify right side
    7,813.97x = 254,302,822.27
  5. Step 5: Solve for x
    x = 254,302,822.27/7,813.97
  6. Step 6: Final answer
    x = 32,544.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.