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Finding the Third Proportional to 9,790.88 and 14,267.53

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Solution

The third proportional to 9,790.88 and 14,267.53 is: 20,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.88 : 14,267.53 = 14,267.53 : x
  2. Step 2: Convert to fraction form
    9,790.88/14,267.53 = 14,267.53/x
  3. Step 3: Cross multiply
    9,790.88x = 14,267.53 × 14,267.53
  4. Step 4: Simplify right side
    9,790.88x = 203,562,447.97
  5. Step 5: Solve for x
    x = 203,562,447.97/9,790.88
  6. Step 6: Final answer
    x = 20,791.04

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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.