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Finding the Third Proportional to 7,044.19 and 14,874.19

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Solution

The third proportional to 7,044.19 and 14,874.19 is: 31,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.19 : 14,874.19 = 14,874.19 : x
  2. Step 2: Convert to fraction form
    7,044.19/14,874.19 = 14,874.19/x
  3. Step 3: Cross multiply
    7,044.19x = 14,874.19 × 14,874.19
  4. Step 4: Simplify right side
    7,044.19x = 221,241,453.79
  5. Step 5: Solve for x
    x = 221,241,453.79/7,044.19
  6. Step 6: Final answer
    x = 31,407.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.