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Finding the Third Proportional to 14,110.50 and 22,324.50

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Solution

The third proportional to 14,110.50 and 22,324.50 is: 35,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.50 : 22,324.50 = 22,324.50 : x
  2. Step 2: Convert to fraction form
    14,110.50/22,324.50 = 22,324.50/x
  3. Step 3: Cross multiply
    14,110.50x = 22,324.50 × 22,324.50
  4. Step 4: Simplify right side
    14,110.50x = 498,383,300.25
  5. Step 5: Solve for x
    x = 498,383,300.25/14,110.50
  6. Step 6: Final answer
    x = 35,320.03

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.