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Finding the Third Proportional to 30,960 and 51,222.38

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Solution

The third proportional to 30,960 and 51,222.38 is: 84,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 51,222.38 = 51,222.38 : x
  2. Step 2: Convert to fraction form
    30,960/51,222.38 = 51,222.38/x
  3. Step 3: Cross multiply
    30,960x = 51,222.38 × 51,222.38
  4. Step 4: Simplify right side
    30,960x = 2,623,731,700.64
  5. Step 5: Solve for x
    x = 2,623,731,700.64/30,960
  6. Step 6: Final answer
    x = 84,745.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.