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Finding the Third Proportional to 14,107.22 and 21,000.09

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Solution

The third proportional to 14,107.22 and 21,000.09 is: 31,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.22 : 21,000.09 = 21,000.09 : x
  2. Step 2: Convert to fraction form
    14,107.22/21,000.09 = 21,000.09/x
  3. Step 3: Cross multiply
    14,107.22x = 21,000.09 × 21,000.09
  4. Step 4: Simplify right side
    14,107.22x = 441,003,937.51
  5. Step 5: Solve for x
    x = 441,003,937.51/14,107.22
  6. Step 6: Final answer
    x = 31,260.87

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Why These Related Problems?

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