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Finding the Third Proportional to 25,818 and 36,358

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Solution

The third proportional to 25,818 and 36,358 is: 51,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,818 : 36,358 = 36,358 : x
  2. Step 2: Convert to fraction form
    25,818/36,358 = 36,358/x
  3. Step 3: Cross multiply
    25,818x = 36,358 × 36,358
  4. Step 4: Simplify right side
    25,818x = 1,321,904,164
  5. Step 5: Solve for x
    x = 1,321,904,164/25,818
  6. Step 6: Final answer
    x = 51,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.