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Finding the Third Proportional to 36,088 and 49,164

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Solution

The third proportional to 36,088 and 49,164 is: 66,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088 : 49,164 = 49,164 : x
  2. Step 2: Convert to fraction form
    36,088/49,164 = 49,164/x
  3. Step 3: Cross multiply
    36,088x = 49,164 × 49,164
  4. Step 4: Simplify right side
    36,088x = 2,417,098,896
  5. Step 5: Solve for x
    x = 2,417,098,896/36,088
  6. Step 6: Final answer
    x = 66,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.