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Finding the Third Proportional to 30,253.50 and 70,302.94

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Solution

The third proportional to 30,253.50 and 70,302.94 is: 163,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.50 : 70,302.94 = 70,302.94 : x
  2. Step 2: Convert to fraction form
    30,253.50/70,302.94 = 70,302.94/x
  3. Step 3: Cross multiply
    30,253.50x = 70,302.94 × 70,302.94
  4. Step 4: Simplify right side
    30,253.50x = 4,942,503,021.13
  5. Step 5: Solve for x
    x = 4,942,503,021.13/30,253.50
  6. Step 6: Final answer
    x = 163,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.