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Finding the Third Proportional to 42,874 and 66,765

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Solution

The third proportional to 42,874 and 66,765 is: 103,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874 : 66,765 = 66,765 : x
  2. Step 2: Convert to fraction form
    42,874/66,765 = 66,765/x
  3. Step 3: Cross multiply
    42,874x = 66,765 × 66,765
  4. Step 4: Simplify right side
    42,874x = 4,457,565,225
  5. Step 5: Solve for x
    x = 4,457,565,225/42,874
  6. Step 6: Final answer
    x = 103,968.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.