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Finding the Third Proportional to 29,310.94 and 45,414.38

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Solution

The third proportional to 29,310.94 and 45,414.38 is: 70,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,310.94 : 45,414.38 = 45,414.38 : x
  2. Step 2: Convert to fraction form
    29,310.94/45,414.38 = 45,414.38/x
  3. Step 3: Cross multiply
    29,310.94x = 45,414.38 × 45,414.38
  4. Step 4: Simplify right side
    29,310.94x = 2,062,465,456.64
  5. Step 5: Solve for x
    x = 2,062,465,456.64/29,310.94
  6. Step 6: Final answer
    x = 70,365.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.