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Finding the Third Proportional to 5,492.25 and 7,551.75

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Solution

The third proportional to 5,492.25 and 7,551.75 is: 10,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.25 : 7,551.75 = 7,551.75 : x
  2. Step 2: Convert to fraction form
    5,492.25/7,551.75 = 7,551.75/x
  3. Step 3: Cross multiply
    5,492.25x = 7,551.75 × 7,551.75
  4. Step 4: Simplify right side
    5,492.25x = 57,028,928.06
  5. Step 5: Solve for x
    x = 57,028,928.06/5,492.25
  6. Step 6: Final answer
    x = 10,383.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.