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Finding the Third Proportional to 7,644.50 and 11,543.75

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Solution

The third proportional to 7,644.50 and 11,543.75 is: 17,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.50 : 11,543.75 = 11,543.75 : x
  2. Step 2: Convert to fraction form
    7,644.50/11,543.75 = 11,543.75/x
  3. Step 3: Cross multiply
    7,644.50x = 11,543.75 × 11,543.75
  4. Step 4: Simplify right side
    7,644.50x = 133,258,164.06
  5. Step 5: Solve for x
    x = 133,258,164.06/7,644.50
  6. Step 6: Final answer
    x = 17,431.90

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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.