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Finding the Third Proportional to 19,207.13 and 25,894.69

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Solution

The third proportional to 19,207.13 and 25,894.69 is: 34,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.13 : 25,894.69 = 25,894.69 : x
  2. Step 2: Convert to fraction form
    19,207.13/25,894.69 = 25,894.69/x
  3. Step 3: Cross multiply
    19,207.13x = 25,894.69 × 25,894.69
  4. Step 4: Simplify right side
    19,207.13x = 670,534,840.72
  5. Step 5: Solve for x
    x = 670,534,840.72/19,207.13
  6. Step 6: Final answer
    x = 34,910.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.