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Finding the Third Proportional to 5,433.75 and 7,292.53

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Solution

The third proportional to 5,433.75 and 7,292.53 is: 9,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.75 : 7,292.53 = 7,292.53 : x
  2. Step 2: Convert to fraction form
    5,433.75/7,292.53 = 7,292.53/x
  3. Step 3: Cross multiply
    5,433.75x = 7,292.53 × 7,292.53
  4. Step 4: Simplify right side
    5,433.75x = 53,181,012.03
  5. Step 5: Solve for x
    x = 53,181,012.03/5,433.75
  6. Step 6: Final answer
    x = 9,787.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.