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Finding the Third Proportional to 4,577.77 and 9,759.23

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Solution

The third proportional to 4,577.77 and 9,759.23 is: 20,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.77 : 9,759.23 = 9,759.23 : x
  2. Step 2: Convert to fraction form
    4,577.77/9,759.23 = 9,759.23/x
  3. Step 3: Cross multiply
    4,577.77x = 9,759.23 × 9,759.23
  4. Step 4: Simplify right side
    4,577.77x = 95,242,655.59
  5. Step 5: Solve for x
    x = 95,242,655.59/4,577.77
  6. Step 6: Final answer
    x = 20,805.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.