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Finding the Third Proportional to 32,410 and 41,415

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Solution

The third proportional to 32,410 and 41,415 is: 52,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410 : 41,415 = 41,415 : x
  2. Step 2: Convert to fraction form
    32,410/41,415 = 41,415/x
  3. Step 3: Cross multiply
    32,410x = 41,415 × 41,415
  4. Step 4: Simplify right side
    32,410x = 1,715,202,225
  5. Step 5: Solve for x
    x = 1,715,202,225/32,410
  6. Step 6: Final answer
    x = 52,922.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.