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Finding the Third Proportional to 34,191.75 and 54,937

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Solution

The third proportional to 34,191.75 and 54,937 is: 88,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.75 : 54,937 = 54,937 : x
  2. Step 2: Convert to fraction form
    34,191.75/54,937 = 54,937/x
  3. Step 3: Cross multiply
    34,191.75x = 54,937 × 54,937
  4. Step 4: Simplify right side
    34,191.75x = 3,018,073,969
  5. Step 5: Solve for x
    x = 3,018,073,969/34,191.75
  6. Step 6: Final answer
    x = 88,269.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.