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Finding the Third Proportional to 31,539.75 and 50,154

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Solution

The third proportional to 31,539.75 and 50,154 is: 79,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539.75 : 50,154 = 50,154 : x
  2. Step 2: Convert to fraction form
    31,539.75/50,154 = 50,154/x
  3. Step 3: Cross multiply
    31,539.75x = 50,154 × 50,154
  4. Step 4: Simplify right side
    31,539.75x = 2,515,423,716
  5. Step 5: Solve for x
    x = 2,515,423,716/31,539.75
  6. Step 6: Final answer
    x = 79,754.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.