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Finding the Third Proportional to 5,382 and 7,895

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Solution

The third proportional to 5,382 and 7,895 is: 11,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 7,895 = 7,895 : x
  2. Step 2: Convert to fraction form
    5,382/7,895 = 7,895/x
  3. Step 3: Cross multiply
    5,382x = 7,895 × 7,895
  4. Step 4: Simplify right side
    5,382x = 62,331,025
  5. Step 5: Solve for x
    x = 62,331,025/5,382
  6. Step 6: Final answer
    x = 11,581.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.