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Finding the Third Proportional to 42,616 and 66,714

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Solution

The third proportional to 42,616 and 66,714 is: 104,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616 : 66,714 = 66,714 : x
  2. Step 2: Convert to fraction form
    42,616/66,714 = 66,714/x
  3. Step 3: Cross multiply
    42,616x = 66,714 × 66,714
  4. Step 4: Simplify right side
    42,616x = 4,450,757,796
  5. Step 5: Solve for x
    x = 4,450,757,796/42,616
  6. Step 6: Final answer
    x = 104,438.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.