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Finding the Third Proportional to 7,403.91 and 15,638.06

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Solution

The third proportional to 7,403.91 and 15,638.06 is: 33,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.91 : 15,638.06 = 15,638.06 : x
  2. Step 2: Convert to fraction form
    7,403.91/15,638.06 = 15,638.06/x
  3. Step 3: Cross multiply
    7,403.91x = 15,638.06 × 15,638.06
  4. Step 4: Simplify right side
    7,403.91x = 244,548,998.75
  5. Step 5: Solve for x
    x = 244,548,998.75/7,403.91
  6. Step 6: Final answer
    x = 33,029.73

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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.