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Finding the Third Proportional to 12,577.78 and 17,021.39

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Solution

The third proportional to 12,577.78 and 17,021.39 is: 23,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.78 : 17,021.39 = 17,021.39 : x
  2. Step 2: Convert to fraction form
    12,577.78/17,021.39 = 17,021.39/x
  3. Step 3: Cross multiply
    12,577.78x = 17,021.39 × 17,021.39
  4. Step 4: Simplify right side
    12,577.78x = 289,727,738.81
  5. Step 5: Solve for x
    x = 289,727,738.81/12,577.78
  6. Step 6: Final answer
    x = 23,034.88

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