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Finding the Third Proportional to 32,763 and 49,415

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Solution

The third proportional to 32,763 and 49,415 is: 74,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763 : 49,415 = 49,415 : x
  2. Step 2: Convert to fraction form
    32,763/49,415 = 49,415/x
  3. Step 3: Cross multiply
    32,763x = 49,415 × 49,415
  4. Step 4: Simplify right side
    32,763x = 2,441,842,225
  5. Step 5: Solve for x
    x = 2,441,842,225/32,763
  6. Step 6: Final answer
    x = 74,530.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.