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Finding the Third Proportional to 13,303.88 and 20,454.94

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Solution

The third proportional to 13,303.88 and 20,454.94 is: 31,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.88 : 20,454.94 = 20,454.94 : x
  2. Step 2: Convert to fraction form
    13,303.88/20,454.94 = 20,454.94/x
  3. Step 3: Cross multiply
    13,303.88x = 20,454.94 × 20,454.94
  4. Step 4: Simplify right side
    13,303.88x = 418,404,468.13
  5. Step 5: Solve for x
    x = 418,404,468.13/13,303.88
  6. Step 6: Final answer
    x = 31,449.82

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