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Finding the Third Proportional to 36,376 and 49,120

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Solution

The third proportional to 36,376 and 49,120 is: 66,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,376 : 49,120 = 49,120 : x
  2. Step 2: Convert to fraction form
    36,376/49,120 = 49,120/x
  3. Step 3: Cross multiply
    36,376x = 49,120 × 49,120
  4. Step 4: Simplify right side
    36,376x = 2,412,774,400
  5. Step 5: Solve for x
    x = 2,412,774,400/36,376
  6. Step 6: Final answer
    x = 66,328.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.