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Finding the Third Proportional to 5,326 and 7,539

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Solution

The third proportional to 5,326 and 7,539 is: 10,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326 : 7,539 = 7,539 : x
  2. Step 2: Convert to fraction form
    5,326/7,539 = 7,539/x
  3. Step 3: Cross multiply
    5,326x = 7,539 × 7,539
  4. Step 4: Simplify right side
    5,326x = 56,836,521
  5. Step 5: Solve for x
    x = 56,836,521/5,326
  6. Step 6: Final answer
    x = 10,671.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.