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Finding the Third Proportional to 35,614.50 and 75,252

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Solution

The third proportional to 35,614.50 and 75,252 is: 159,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614.50 : 75,252 = 75,252 : x
  2. Step 2: Convert to fraction form
    35,614.50/75,252 = 75,252/x
  3. Step 3: Cross multiply
    35,614.50x = 75,252 × 75,252
  4. Step 4: Simplify right side
    35,614.50x = 5,662,863,504
  5. Step 5: Solve for x
    x = 5,662,863,504/35,614.50
  6. Step 6: Final answer
    x = 159,004.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.