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Finding the Third Proportional to 25,629 and 34,485

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Solution

The third proportional to 25,629 and 34,485 is: 46,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629 : 34,485 = 34,485 : x
  2. Step 2: Convert to fraction form
    25,629/34,485 = 34,485/x
  3. Step 3: Cross multiply
    25,629x = 34,485 × 34,485
  4. Step 4: Simplify right side
    25,629x = 1,189,215,225
  5. Step 5: Solve for x
    x = 1,189,215,225/25,629
  6. Step 6: Final answer
    x = 46,401.16

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