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Finding the Third Proportional to 19,934.50 and 30,431

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Solution

The third proportional to 19,934.50 and 30,431 is: 46,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934.50 : 30,431 = 30,431 : x
  2. Step 2: Convert to fraction form
    19,934.50/30,431 = 30,431/x
  3. Step 3: Cross multiply
    19,934.50x = 30,431 × 30,431
  4. Step 4: Simplify right side
    19,934.50x = 926,045,761
  5. Step 5: Solve for x
    x = 926,045,761/19,934.50
  6. Step 6: Final answer
    x = 46,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.