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Finding the Third Proportional to 14,205.94 and 21,308.91

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Solution

The third proportional to 14,205.94 and 21,308.91 is: 31,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.94 : 21,308.91 = 21,308.91 : x
  2. Step 2: Convert to fraction form
    14,205.94/21,308.91 = 21,308.91/x
  3. Step 3: Cross multiply
    14,205.94x = 21,308.91 × 21,308.91
  4. Step 4: Simplify right side
    14,205.94x = 454,069,485.57
  5. Step 5: Solve for x
    x = 454,069,485.57/14,205.94
  6. Step 6: Final answer
    x = 31,963.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.