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Finding the Third Proportional to 25,803 and 52,700

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Solution

The third proportional to 25,803 and 52,700 is: 107,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803 : 52,700 = 52,700 : x
  2. Step 2: Convert to fraction form
    25,803/52,700 = 52,700/x
  3. Step 3: Cross multiply
    25,803x = 52,700 × 52,700
  4. Step 4: Simplify right side
    25,803x = 2,777,290,000
  5. Step 5: Solve for x
    x = 2,777,290,000/25,803
  6. Step 6: Final answer
    x = 107,634.38

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.