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Finding the Third Proportional to 15,000.75 and 34,728.19

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Solution

The third proportional to 15,000.75 and 34,728.19 is: 80,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000.75 : 34,728.19 = 34,728.19 : x
  2. Step 2: Convert to fraction form
    15,000.75/34,728.19 = 34,728.19/x
  3. Step 3: Cross multiply
    15,000.75x = 34,728.19 × 34,728.19
  4. Step 4: Simplify right side
    15,000.75x = 1,206,047,007.04
  5. Step 5: Solve for x
    x = 1,206,047,007.04/15,000.75
  6. Step 6: Final answer
    x = 80,399.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.