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Finding the Third Proportional to 5,087.25 and 7,701.75

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Solution

The third proportional to 5,087.25 and 7,701.75 is: 11,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.25 : 7,701.75 = 7,701.75 : x
  2. Step 2: Convert to fraction form
    5,087.25/7,701.75 = 7,701.75/x
  3. Step 3: Cross multiply
    5,087.25x = 7,701.75 × 7,701.75
  4. Step 4: Simplify right side
    5,087.25x = 59,316,953.06
  5. Step 5: Solve for x
    x = 59,316,953.06/5,087.25
  6. Step 6: Final answer
    x = 11,659.92

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Why These Related Problems?

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