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Finding the Third Proportional to 25,176 and 52,446

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Solution

The third proportional to 25,176 and 52,446 is: 109,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176 : 52,446 = 52,446 : x
  2. Step 2: Convert to fraction form
    25,176/52,446 = 52,446/x
  3. Step 3: Cross multiply
    25,176x = 52,446 × 52,446
  4. Step 4: Simplify right side
    25,176x = 2,750,582,916
  5. Step 5: Solve for x
    x = 2,750,582,916/25,176
  6. Step 6: Final answer
    x = 109,254.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.