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Finding the Third Proportional to 36,415 and 54,957

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Solution

The third proportional to 36,415 and 54,957 is: 82,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,415 : 54,957 = 54,957 : x
  2. Step 2: Convert to fraction form
    36,415/54,957 = 54,957/x
  3. Step 3: Cross multiply
    36,415x = 54,957 × 54,957
  4. Step 4: Simplify right side
    36,415x = 3,020,271,849
  5. Step 5: Solve for x
    x = 3,020,271,849/36,415
  6. Step 6: Final answer
    x = 82,940.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.