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Finding the Third Proportional to 14,007.38 and 21,063.94

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Solution

The third proportional to 14,007.38 and 21,063.94 is: 31,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.38 : 21,063.94 = 21,063.94 : x
  2. Step 2: Convert to fraction form
    14,007.38/21,063.94 = 21,063.94/x
  3. Step 3: Cross multiply
    14,007.38x = 21,063.94 × 21,063.94
  4. Step 4: Simplify right side
    14,007.38x = 443,689,463.00
  5. Step 5: Solve for x
    x = 443,689,463.00/14,007.38
  6. Step 6: Final answer
    x = 31,675.42

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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.