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Finding the Third Proportional to 14,505.75 and 21,704.63

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Solution

The third proportional to 14,505.75 and 21,704.63 is: 32,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.75 : 21,704.63 = 21,704.63 : x
  2. Step 2: Convert to fraction form
    14,505.75/21,704.63 = 21,704.63/x
  3. Step 3: Cross multiply
    14,505.75x = 21,704.63 × 21,704.63
  4. Step 4: Simplify right side
    14,505.75x = 471,090,746.39
  5. Step 5: Solve for x
    x = 471,090,746.39/14,505.75
  6. Step 6: Final answer
    x = 32,476.14

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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.