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Finding the Third Proportional to 14,914.13 and 21,201.75

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Solution

The third proportional to 14,914.13 and 21,201.75 is: 30,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.13 : 21,201.75 = 21,201.75 : x
  2. Step 2: Convert to fraction form
    14,914.13/21,201.75 = 21,201.75/x
  3. Step 3: Cross multiply
    14,914.13x = 21,201.75 × 21,201.75
  4. Step 4: Simplify right side
    14,914.13x = 449,514,203.06
  5. Step 5: Solve for x
    x = 449,514,203.06/14,914.13
  6. Step 6: Final answer
    x = 30,140.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.