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Finding the Third Proportional to 49,434 and 72,288

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Solution

The third proportional to 49,434 and 72,288 is: 105,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434 : 72,288 = 72,288 : x
  2. Step 2: Convert to fraction form
    49,434/72,288 = 72,288/x
  3. Step 3: Cross multiply
    49,434x = 72,288 × 72,288
  4. Step 4: Simplify right side
    49,434x = 5,225,554,944
  5. Step 5: Solve for x
    x = 5,225,554,944/49,434
  6. Step 6: Final answer
    x = 105,707.71

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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.