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Finding the Third Proportional to 8,045.58 and 16,826.80

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Solution

The third proportional to 8,045.58 and 16,826.80 is: 35,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.58 : 16,826.80 = 16,826.80 : x
  2. Step 2: Convert to fraction form
    8,045.58/16,826.80 = 16,826.80/x
  3. Step 3: Cross multiply
    8,045.58x = 16,826.80 × 16,826.80
  4. Step 4: Simplify right side
    8,045.58x = 283,141,224.53
  5. Step 5: Solve for x
    x = 283,141,224.53/8,045.58
  6. Step 6: Final answer
    x = 35,192.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.