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Finding the Third Proportional to 25,382 and 36,078

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Solution

The third proportional to 25,382 and 36,078 is: 51,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382 : 36,078 = 36,078 : x
  2. Step 2: Convert to fraction form
    25,382/36,078 = 36,078/x
  3. Step 3: Cross multiply
    25,382x = 36,078 × 36,078
  4. Step 4: Simplify right side
    25,382x = 1,301,622,084
  5. Step 5: Solve for x
    x = 1,301,622,084/25,382
  6. Step 6: Final answer
    x = 51,281.31

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Why These Related Problems?

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