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Finding the Third Proportional to 42,276 and 65,551

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Solution

The third proportional to 42,276 and 65,551 is: 101,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 65,551 = 65,551 : x
  2. Step 2: Convert to fraction form
    42,276/65,551 = 65,551/x
  3. Step 3: Cross multiply
    42,276x = 65,551 × 65,551
  4. Step 4: Simplify right side
    42,276x = 4,296,933,601
  5. Step 5: Solve for x
    x = 4,296,933,601/42,276
  6. Step 6: Final answer
    x = 101,640.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.