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Finding the Third Proportional to 7,509.80 and 16,224.12

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Solution

The third proportional to 7,509.80 and 16,224.12 is: 35,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.80 : 16,224.12 = 16,224.12 : x
  2. Step 2: Convert to fraction form
    7,509.80/16,224.12 = 16,224.12/x
  3. Step 3: Cross multiply
    7,509.80x = 16,224.12 × 16,224.12
  4. Step 4: Simplify right side
    7,509.80x = 263,221,978.51
  5. Step 5: Solve for x
    x = 263,221,978.51/7,509.80
  6. Step 6: Final answer
    x = 35,050.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.