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Finding the Third Proportional to 9,726.75 and 20,645.25

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Solution

The third proportional to 9,726.75 and 20,645.25 is: 43,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.75 : 20,645.25 = 20,645.25 : x
  2. Step 2: Convert to fraction form
    9,726.75/20,645.25 = 20,645.25/x
  3. Step 3: Cross multiply
    9,726.75x = 20,645.25 × 20,645.25
  4. Step 4: Simplify right side
    9,726.75x = 426,226,347.56
  5. Step 5: Solve for x
    x = 426,226,347.56/9,726.75
  6. Step 6: Final answer
    x = 43,820.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.