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Finding the Third Proportional to 30,175.50 and 45,966

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Solution

The third proportional to 30,175.50 and 45,966 is: 70,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.50 : 45,966 = 45,966 : x
  2. Step 2: Convert to fraction form
    30,175.50/45,966 = 45,966/x
  3. Step 3: Cross multiply
    30,175.50x = 45,966 × 45,966
  4. Step 4: Simplify right side
    30,175.50x = 2,112,873,156
  5. Step 5: Solve for x
    x = 2,112,873,156/30,175.50
  6. Step 6: Final answer
    x = 70,019.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.