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Finding the Third Proportional to 14,053.50 and 21,429.56

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Solution

The third proportional to 14,053.50 and 21,429.56 is: 32,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.50 : 21,429.56 = 21,429.56 : x
  2. Step 2: Convert to fraction form
    14,053.50/21,429.56 = 21,429.56/x
  3. Step 3: Cross multiply
    14,053.50x = 21,429.56 × 21,429.56
  4. Step 4: Simplify right side
    14,053.50x = 459,226,148.94
  5. Step 5: Solve for x
    x = 459,226,148.94/14,053.50
  6. Step 6: Final answer
    x = 32,676.99

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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.