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Finding the Third Proportional to 25,450 and 37,409

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Solution

The third proportional to 25,450 and 37,409 is: 54,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450 : 37,409 = 37,409 : x
  2. Step 2: Convert to fraction form
    25,450/37,409 = 37,409/x
  3. Step 3: Cross multiply
    25,450x = 37,409 × 37,409
  4. Step 4: Simplify right side
    25,450x = 1,399,433,281
  5. Step 5: Solve for x
    x = 1,399,433,281/25,450
  6. Step 6: Final answer
    x = 54,987.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.