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Finding the Third Proportional to 8,226.56 and 12,032.44

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Solution

The third proportional to 8,226.56 and 12,032.44 is: 17,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 12,032.44 = 12,032.44 : x
  2. Step 2: Convert to fraction form
    8,226.56/12,032.44 = 12,032.44/x
  3. Step 3: Cross multiply
    8,226.56x = 12,032.44 × 12,032.44
  4. Step 4: Simplify right side
    8,226.56x = 144,779,552.19
  5. Step 5: Solve for x
    x = 144,779,552.19/8,226.56
  6. Step 6: Final answer
    x = 17,599.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.