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Finding the Third Proportional to 15,900.75 and 36,774

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Solution

The third proportional to 15,900.75 and 36,774 is: 85,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.75 : 36,774 = 36,774 : x
  2. Step 2: Convert to fraction form
    15,900.75/36,774 = 36,774/x
  3. Step 3: Cross multiply
    15,900.75x = 36,774 × 36,774
  4. Step 4: Simplify right side
    15,900.75x = 1,352,327,076
  5. Step 5: Solve for x
    x = 1,352,327,076/15,900.75
  6. Step 6: Final answer
    x = 85,048.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.