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Finding the Third Proportional to 3,577.22 and 7,837.88

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Solution

The third proportional to 3,577.22 and 7,837.88 is: 17,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.22 : 7,837.88 = 7,837.88 : x
  2. Step 2: Convert to fraction form
    3,577.22/7,837.88 = 7,837.88/x
  3. Step 3: Cross multiply
    3,577.22x = 7,837.88 × 7,837.88
  4. Step 4: Simplify right side
    3,577.22x = 61,432,284.52
  5. Step 5: Solve for x
    x = 61,432,284.52/3,577.22
  6. Step 6: Final answer
    x = 17,173.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.