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Finding the Third Proportional to 7,205.06 and 16,828.88

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Solution

The third proportional to 7,205.06 and 16,828.88 is: 39,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.06 : 16,828.88 = 16,828.88 : x
  2. Step 2: Convert to fraction form
    7,205.06/16,828.88 = 16,828.88/x
  3. Step 3: Cross multiply
    7,205.06x = 16,828.88 × 16,828.88
  4. Step 4: Simplify right side
    7,205.06x = 283,211,033.77
  5. Step 5: Solve for x
    x = 283,211,033.77/7,205.06
  6. Step 6: Final answer
    x = 39,307.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.