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Finding the Third Proportional to 14,114.88 and 21,174.22

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Solution

The third proportional to 14,114.88 and 21,174.22 is: 31,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.88 : 21,174.22 = 21,174.22 : x
  2. Step 2: Convert to fraction form
    14,114.88/21,174.22 = 21,174.22/x
  3. Step 3: Cross multiply
    14,114.88x = 21,174.22 × 21,174.22
  4. Step 4: Simplify right side
    14,114.88x = 448,347,705.10
  5. Step 5: Solve for x
    x = 448,347,705.10/14,114.88
  6. Step 6: Final answer
    x = 31,764.18

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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.