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Finding the Third Proportional to 30,496.50 and 43,512.19

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Solution

The third proportional to 30,496.50 and 43,512.19 is: 62,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.50 : 43,512.19 = 43,512.19 : x
  2. Step 2: Convert to fraction form
    30,496.50/43,512.19 = 43,512.19/x
  3. Step 3: Cross multiply
    30,496.50x = 43,512.19 × 43,512.19
  4. Step 4: Simplify right side
    30,496.50x = 1,893,310,461.04
  5. Step 5: Solve for x
    x = 1,893,310,461.04/30,496.50
  6. Step 6: Final answer
    x = 62,082.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.