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Finding the Third Proportional to 15,855.75 and 37,563.75

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Solution

The third proportional to 15,855.75 and 37,563.75 is: 88,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.75 : 37,563.75 = 37,563.75 : x
  2. Step 2: Convert to fraction form
    15,855.75/37,563.75 = 37,563.75/x
  3. Step 3: Cross multiply
    15,855.75x = 37,563.75 × 37,563.75
  4. Step 4: Simplify right side
    15,855.75x = 1,411,035,314.06
  5. Step 5: Solve for x
    x = 1,411,035,314.06/15,855.75
  6. Step 6: Final answer
    x = 88,992.03

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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.