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Finding the Third Proportional to 14,311.69 and 21,265.03

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Solution

The third proportional to 14,311.69 and 21,265.03 is: 31,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.69 : 21,265.03 = 21,265.03 : x
  2. Step 2: Convert to fraction form
    14,311.69/21,265.03 = 21,265.03/x
  3. Step 3: Cross multiply
    14,311.69x = 21,265.03 × 21,265.03
  4. Step 4: Simplify right side
    14,311.69x = 452,201,554.06
  5. Step 5: Solve for x
    x = 452,201,554.06/14,311.69
  6. Step 6: Final answer
    x = 31,596.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.