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Finding the Third Proportional to 49,887 and 72,885

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Solution

The third proportional to 49,887 and 72,885 is: 106,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,887 : 72,885 = 72,885 : x
  2. Step 2: Convert to fraction form
    49,887/72,885 = 72,885/x
  3. Step 3: Cross multiply
    49,887x = 72,885 × 72,885
  4. Step 4: Simplify right side
    49,887x = 5,312,223,225
  5. Step 5: Solve for x
    x = 5,312,223,225/49,887
  6. Step 6: Final answer
    x = 106,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.