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Finding the Third Proportional to 7,575.75 and 11,579.63

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Solution

The third proportional to 7,575.75 and 11,579.63 is: 17,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.75 : 11,579.63 = 11,579.63 : x
  2. Step 2: Convert to fraction form
    7,575.75/11,579.63 = 11,579.63/x
  3. Step 3: Cross multiply
    7,575.75x = 11,579.63 × 11,579.63
  4. Step 4: Simplify right side
    7,575.75x = 134,087,715.14
  5. Step 5: Solve for x
    x = 134,087,715.14/7,575.75
  6. Step 6: Final answer
    x = 17,699.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.