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Finding the Third Proportional to 18,996.19 and 29,284.03

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Solution

The third proportional to 18,996.19 and 29,284.03 is: 45,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996.19 : 29,284.03 = 29,284.03 : x
  2. Step 2: Convert to fraction form
    18,996.19/29,284.03 = 29,284.03/x
  3. Step 3: Cross multiply
    18,996.19x = 29,284.03 × 29,284.03
  4. Step 4: Simplify right side
    18,996.19x = 857,554,486.25
  5. Step 5: Solve for x
    x = 857,554,486.25/18,996.19
  6. Step 6: Final answer
    x = 45,143.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.