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Finding the Third Proportional to 25,546 and 37,347

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Solution

The third proportional to 25,546 and 37,347 is: 54,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546 : 37,347 = 37,347 : x
  2. Step 2: Convert to fraction form
    25,546/37,347 = 37,347/x
  3. Step 3: Cross multiply
    25,546x = 37,347 × 37,347
  4. Step 4: Simplify right side
    25,546x = 1,394,798,409
  5. Step 5: Solve for x
    x = 1,394,798,409/25,546
  6. Step 6: Final answer
    x = 54,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.