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Finding the Third Proportional to 7,756.59 and 11,577.09

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Solution

The third proportional to 7,756.59 and 11,577.09 is: 17,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.59 : 11,577.09 = 11,577.09 : x
  2. Step 2: Convert to fraction form
    7,756.59/11,577.09 = 11,577.09/x
  3. Step 3: Cross multiply
    7,756.59x = 11,577.09 × 11,577.09
  4. Step 4: Simplify right side
    7,756.59x = 134,029,099.70
  5. Step 5: Solve for x
    x = 134,029,099.70/7,756.59
  6. Step 6: Final answer
    x = 17,279.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.