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Finding the Third Proportional to 14,296.50 and 20,925.84

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Solution

The third proportional to 14,296.50 and 20,925.84 is: 30,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.50 : 20,925.84 = 20,925.84 : x
  2. Step 2: Convert to fraction form
    14,296.50/20,925.84 = 20,925.84/x
  3. Step 3: Cross multiply
    14,296.50x = 20,925.84 × 20,925.84
  4. Step 4: Simplify right side
    14,296.50x = 437,890,936.65
  5. Step 5: Solve for x
    x = 437,890,936.65/14,296.50
  6. Step 6: Final answer
    x = 30,629.24

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