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Finding the Third Proportional to 14,869.88 and 33,020.25

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Solution

The third proportional to 14,869.88 and 33,020.25 is: 73,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.88 : 33,020.25 = 33,020.25 : x
  2. Step 2: Convert to fraction form
    14,869.88/33,020.25 = 33,020.25/x
  3. Step 3: Cross multiply
    14,869.88x = 33,020.25 × 33,020.25
  4. Step 4: Simplify right side
    14,869.88x = 1,090,336,910.06
  5. Step 5: Solve for x
    x = 1,090,336,910.06/14,869.88
  6. Step 6: Final answer
    x = 73,325.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.