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Finding the Third Proportional to 25,537.50 and 35,754

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Solution

The third proportional to 25,537.50 and 35,754 is: 50,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.50 : 35,754 = 35,754 : x
  2. Step 2: Convert to fraction form
    25,537.50/35,754 = 35,754/x
  3. Step 3: Cross multiply
    25,537.50x = 35,754 × 35,754
  4. Step 4: Simplify right side
    25,537.50x = 1,278,348,516
  5. Step 5: Solve for x
    x = 1,278,348,516/25,537.50
  6. Step 6: Final answer
    x = 50,057.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.