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Finding the Third Proportional to 41,260 and 64,355

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Solution

The third proportional to 41,260 and 64,355 is: 100,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,260 : 64,355 = 64,355 : x
  2. Step 2: Convert to fraction form
    41,260/64,355 = 64,355/x
  3. Step 3: Cross multiply
    41,260x = 64,355 × 64,355
  4. Step 4: Simplify right side
    41,260x = 4,141,566,025
  5. Step 5: Solve for x
    x = 4,141,566,025/41,260
  6. Step 6: Final answer
    x = 100,377.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.