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Finding the Third Proportional to 15,863.63 and 37,581.75

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Solution

The third proportional to 15,863.63 and 37,581.75 is: 89,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.63 : 37,581.75 = 37,581.75 : x
  2. Step 2: Convert to fraction form
    15,863.63/37,581.75 = 37,581.75/x
  3. Step 3: Cross multiply
    15,863.63x = 37,581.75 × 37,581.75
  4. Step 4: Simplify right side
    15,863.63x = 1,412,387,933.06
  5. Step 5: Solve for x
    x = 1,412,387,933.06/15,863.63
  6. Step 6: Final answer
    x = 89,033.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.