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Finding the Third Proportional to 25,272 and 36,810

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Solution

The third proportional to 25,272 and 36,810 is: 53,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272 : 36,810 = 36,810 : x
  2. Step 2: Convert to fraction form
    25,272/36,810 = 36,810/x
  3. Step 3: Cross multiply
    25,272x = 36,810 × 36,810
  4. Step 4: Simplify right side
    25,272x = 1,354,976,100
  5. Step 5: Solve for x
    x = 1,354,976,100/25,272
  6. Step 6: Final answer
    x = 53,615.71

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