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Finding the Third Proportional to 14,157 and 19,804.50

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Solution

The third proportional to 14,157 and 19,804.50 is: 27,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157 : 19,804.50 = 19,804.50 : x
  2. Step 2: Convert to fraction form
    14,157/19,804.50 = 19,804.50/x
  3. Step 3: Cross multiply
    14,157x = 19,804.50 × 19,804.50
  4. Step 4: Simplify right side
    14,157x = 392,218,220.25
  5. Step 5: Solve for x
    x = 392,218,220.25/14,157
  6. Step 6: Final answer
    x = 27,704.90

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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.