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Finding the Third Proportional to 10,443.94 and 16,182.28

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Solution

The third proportional to 10,443.94 and 16,182.28 is: 25,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.94 : 16,182.28 = 16,182.28 : x
  2. Step 2: Convert to fraction form
    10,443.94/16,182.28 = 16,182.28/x
  3. Step 3: Cross multiply
    10,443.94x = 16,182.28 × 16,182.28
  4. Step 4: Simplify right side
    10,443.94x = 261,866,226.45
  5. Step 5: Solve for x
    x = 261,866,226.45/10,443.94
  6. Step 6: Final answer
    x = 25,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.