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Finding the Third Proportional to 25,676 and 34,610

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Solution

The third proportional to 25,676 and 34,610 is: 46,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676 : 34,610 = 34,610 : x
  2. Step 2: Convert to fraction form
    25,676/34,610 = 34,610/x
  3. Step 3: Cross multiply
    25,676x = 34,610 × 34,610
  4. Step 4: Simplify right side
    25,676x = 1,197,852,100
  5. Step 5: Solve for x
    x = 1,197,852,100/25,676
  6. Step 6: Final answer
    x = 46,652.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.