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Finding the Third Proportional to 9,051.12 and 13,930.73

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Solution

The third proportional to 9,051.12 and 13,930.73 is: 21,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.12 : 13,930.73 = 13,930.73 : x
  2. Step 2: Convert to fraction form
    9,051.12/13,930.73 = 13,930.73/x
  3. Step 3: Cross multiply
    9,051.12x = 13,930.73 × 13,930.73
  4. Step 4: Simplify right side
    9,051.12x = 194,065,360.23
  5. Step 5: Solve for x
    x = 194,065,360.23/9,051.12
  6. Step 6: Final answer
    x = 21,441.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.