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Finding the Third Proportional to 25,249 and 37,387.50

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Solution

The third proportional to 25,249 and 37,387.50 is: 55,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249 : 37,387.50 = 37,387.50 : x
  2. Step 2: Convert to fraction form
    25,249/37,387.50 = 37,387.50/x
  3. Step 3: Cross multiply
    25,249x = 37,387.50 × 37,387.50
  4. Step 4: Simplify right side
    25,249x = 1,397,825,156.25
  5. Step 5: Solve for x
    x = 1,397,825,156.25/25,249
  6. Step 6: Final answer
    x = 55,361.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.