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Finding the Third Proportional to 11,426.06 and 17,807.34

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Solution

The third proportional to 11,426.06 and 17,807.34 is: 27,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.06 : 17,807.34 = 17,807.34 : x
  2. Step 2: Convert to fraction form
    11,426.06/17,807.34 = 17,807.34/x
  3. Step 3: Cross multiply
    11,426.06x = 17,807.34 × 17,807.34
  4. Step 4: Simplify right side
    11,426.06x = 317,101,491.43
  5. Step 5: Solve for x
    x = 317,101,491.43/11,426.06
  6. Step 6: Final answer
    x = 27,752.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.