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Finding the Third Proportional to 9,509.06 and 14,265.28

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Solution

The third proportional to 9,509.06 and 14,265.28 is: 21,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.06 : 14,265.28 = 14,265.28 : x
  2. Step 2: Convert to fraction form
    9,509.06/14,265.28 = 14,265.28/x
  3. Step 3: Cross multiply
    9,509.06x = 14,265.28 × 14,265.28
  4. Step 4: Simplify right side
    9,509.06x = 203,498,249.14
  5. Step 5: Solve for x
    x = 203,498,249.14/9,509.06
  6. Step 6: Final answer
    x = 21,400.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.