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Finding the Third Proportional to 29,965.50 and 43,164

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Solution

The third proportional to 29,965.50 and 43,164 is: 62,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.50 : 43,164 = 43,164 : x
  2. Step 2: Convert to fraction form
    29,965.50/43,164 = 43,164/x
  3. Step 3: Cross multiply
    29,965.50x = 43,164 × 43,164
  4. Step 4: Simplify right side
    29,965.50x = 1,863,130,896
  5. Step 5: Solve for x
    x = 1,863,130,896/29,965.50
  6. Step 6: Final answer
    x = 62,175.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.