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Finding the Third Proportional to 7,683.38 and 11,595.75

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Solution

The third proportional to 7,683.38 and 11,595.75 is: 17,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.38 : 11,595.75 = 11,595.75 : x
  2. Step 2: Convert to fraction form
    7,683.38/11,595.75 = 11,595.75/x
  3. Step 3: Cross multiply
    7,683.38x = 11,595.75 × 11,595.75
  4. Step 4: Simplify right side
    7,683.38x = 134,461,418.06
  5. Step 5: Solve for x
    x = 134,461,418.06/7,683.38
  6. Step 6: Final answer
    x = 17,500.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.