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Finding the Third Proportional to 27,934.50 and 39,904.75

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Solution

The third proportional to 27,934.50 and 39,904.75 is: 57,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.50 : 39,904.75 = 39,904.75 : x
  2. Step 2: Convert to fraction form
    27,934.50/39,904.75 = 39,904.75/x
  3. Step 3: Cross multiply
    27,934.50x = 39,904.75 × 39,904.75
  4. Step 4: Simplify right side
    27,934.50x = 1,592,389,072.56
  5. Step 5: Solve for x
    x = 1,592,389,072.56/27,934.50
  6. Step 6: Final answer
    x = 57,004.39

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