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Finding the Third Proportional to 14,013 and 19,622.25

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Solution

The third proportional to 14,013 and 19,622.25 is: 27,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 19,622.25 = 19,622.25 : x
  2. Step 2: Convert to fraction form
    14,013/19,622.25 = 19,622.25/x
  3. Step 3: Cross multiply
    14,013x = 19,622.25 × 19,622.25
  4. Step 4: Simplify right side
    14,013x = 385,032,695.06
  5. Step 5: Solve for x
    x = 385,032,695.06/14,013
  6. Step 6: Final answer
    x = 27,476.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.