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Finding the Third Proportional to 14,814.50 and 22,932.75

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Solution

The third proportional to 14,814.50 and 22,932.75 is: 35,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.50 : 22,932.75 = 22,932.75 : x
  2. Step 2: Convert to fraction form
    14,814.50/22,932.75 = 22,932.75/x
  3. Step 3: Cross multiply
    14,814.50x = 22,932.75 × 22,932.75
  4. Step 4: Simplify right side
    14,814.50x = 525,911,022.56
  5. Step 5: Solve for x
    x = 525,911,022.56/14,814.50
  6. Step 6: Final answer
    x = 35,499.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.