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Finding the Third Proportional to 24,925 and 35,551

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Solution

The third proportional to 24,925 and 35,551 is: 50,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925 : 35,551 = 35,551 : x
  2. Step 2: Convert to fraction form
    24,925/35,551 = 35,551/x
  3. Step 3: Cross multiply
    24,925x = 35,551 × 35,551
  4. Step 4: Simplify right side
    24,925x = 1,263,873,601
  5. Step 5: Solve for x
    x = 1,263,873,601/24,925
  6. Step 6: Final answer
    x = 50,707.07

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Why These Related Problems?

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