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Finding the Third Proportional to 10,900.75 and 23,543.75

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Solution

The third proportional to 10,900.75 and 23,543.75 is: 50,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.75 : 23,543.75 = 23,543.75 : x
  2. Step 2: Convert to fraction form
    10,900.75/23,543.75 = 23,543.75/x
  3. Step 3: Cross multiply
    10,900.75x = 23,543.75 × 23,543.75
  4. Step 4: Simplify right side
    10,900.75x = 554,308,164.06
  5. Step 5: Solve for x
    x = 554,308,164.06/10,900.75
  6. Step 6: Final answer
    x = 50,850.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.