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Finding the Third Proportional to 5,307.75 and 11,131.88

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Solution

The third proportional to 5,307.75 and 11,131.88 is: 23,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.75 : 11,131.88 = 11,131.88 : x
  2. Step 2: Convert to fraction form
    5,307.75/11,131.88 = 11,131.88/x
  3. Step 3: Cross multiply
    5,307.75x = 11,131.88 × 11,131.88
  4. Step 4: Simplify right side
    5,307.75x = 123,918,641.02
  5. Step 5: Solve for x
    x = 123,918,641.02/5,307.75
  6. Step 6: Final answer
    x = 23,346.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.