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Finding the Third Proportional to 49,502 and 72,015

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Solution

The third proportional to 49,502 and 72,015 is: 104,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 72,015 = 72,015 : x
  2. Step 2: Convert to fraction form
    49,502/72,015 = 72,015/x
  3. Step 3: Cross multiply
    49,502x = 72,015 × 72,015
  4. Step 4: Simplify right side
    49,502x = 5,186,160,225
  5. Step 5: Solve for x
    x = 5,186,160,225/49,502
  6. Step 6: Final answer
    x = 104,766.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.