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Finding the Third Proportional to 42,622 and 65,229

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Solution

The third proportional to 42,622 and 65,229 is: 99,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,622 : 65,229 = 65,229 : x
  2. Step 2: Convert to fraction form
    42,622/65,229 = 65,229/x
  3. Step 3: Cross multiply
    42,622x = 65,229 × 65,229
  4. Step 4: Simplify right side
    42,622x = 4,254,822,441
  5. Step 5: Solve for x
    x = 4,254,822,441/42,622
  6. Step 6: Final answer
    x = 99,826.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.