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Finding the Third Proportional to 25,534.50 and 35,715

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Solution

The third proportional to 25,534.50 and 35,715 is: 49,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.50 : 35,715 = 35,715 : x
  2. Step 2: Convert to fraction form
    25,534.50/35,715 = 35,715/x
  3. Step 3: Cross multiply
    25,534.50x = 35,715 × 35,715
  4. Step 4: Simplify right side
    25,534.50x = 1,275,561,225
  5. Step 5: Solve for x
    x = 1,275,561,225/25,534.50
  6. Step 6: Final answer
    x = 49,954.42

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Why These Related Problems?

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