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Finding the Third Proportional to 11,214.07 and 14,953.04

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Solution

The third proportional to 11,214.07 and 14,953.04 is: 19,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.07 : 14,953.04 = 14,953.04 : x
  2. Step 2: Convert to fraction form
    11,214.07/14,953.04 = 14,953.04/x
  3. Step 3: Cross multiply
    11,214.07x = 14,953.04 × 14,953.04
  4. Step 4: Simplify right side
    11,214.07x = 223,593,494.03
  5. Step 5: Solve for x
    x = 223,593,494.03/11,214.07
  6. Step 6: Final answer
    x = 19,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.