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Finding the Third Proportional to 14,041.75 and 21,350.88

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Solution

The third proportional to 14,041.75 and 21,350.88 is: 32,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.75 : 21,350.88 = 21,350.88 : x
  2. Step 2: Convert to fraction form
    14,041.75/21,350.88 = 21,350.88/x
  3. Step 3: Cross multiply
    14,041.75x = 21,350.88 × 21,350.88
  4. Step 4: Simplify right side
    14,041.75x = 455,859,863.27
  5. Step 5: Solve for x
    x = 455,859,863.27/14,041.75
  6. Step 6: Final answer
    x = 32,464.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.