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Finding the Third Proportional to 7,881.75 and 12,899.25

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Solution

The third proportional to 7,881.75 and 12,899.25 is: 21,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.75 : 12,899.25 = 12,899.25 : x
  2. Step 2: Convert to fraction form
    7,881.75/12,899.25 = 12,899.25/x
  3. Step 3: Cross multiply
    7,881.75x = 12,899.25 × 12,899.25
  4. Step 4: Simplify right side
    7,881.75x = 166,390,650.56
  5. Step 5: Solve for x
    x = 166,390,650.56/7,881.75
  6. Step 6: Final answer
    x = 21,110.88

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.