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Finding the Third Proportional to 27,483.75 and 37,899

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Solution

The third proportional to 27,483.75 and 37,899 is: 52,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483.75 : 37,899 = 37,899 : x
  2. Step 2: Convert to fraction form
    27,483.75/37,899 = 37,899/x
  3. Step 3: Cross multiply
    27,483.75x = 37,899 × 37,899
  4. Step 4: Simplify right side
    27,483.75x = 1,436,334,201
  5. Step 5: Solve for x
    x = 1,436,334,201/27,483.75
  6. Step 6: Final answer
    x = 52,261.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.