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Finding the Third Proportional to 14,450.06 and 21,207.94

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Solution

The third proportional to 14,450.06 and 21,207.94 is: 31,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.06 : 21,207.94 = 21,207.94 : x
  2. Step 2: Convert to fraction form
    14,450.06/21,207.94 = 21,207.94/x
  3. Step 3: Cross multiply
    14,450.06x = 21,207.94 × 21,207.94
  4. Step 4: Simplify right side
    14,450.06x = 449,776,613.00
  5. Step 5: Solve for x
    x = 449,776,613.00/14,450.06
  6. Step 6: Final answer
    x = 31,126.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.