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Finding the Third Proportional to 13,509.28 and 22,006.69

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Solution

The third proportional to 13,509.28 and 22,006.69 is: 35,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.28 : 22,006.69 = 22,006.69 : x
  2. Step 2: Convert to fraction form
    13,509.28/22,006.69 = 22,006.69/x
  3. Step 3: Cross multiply
    13,509.28x = 22,006.69 × 22,006.69
  4. Step 4: Simplify right side
    13,509.28x = 484,294,294.72
  5. Step 5: Solve for x
    x = 484,294,294.72/13,509.28
  6. Step 6: Final answer
    x = 35,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.