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Finding the Third Proportional to 909.56 and 2,007.28

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Solution

The third proportional to 909.56 and 2,007.28 is: 4,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.56 : 2,007.28 = 2,007.28 : x
  2. Step 2: Convert to fraction form
    909.56/2,007.28 = 2,007.28/x
  3. Step 3: Cross multiply
    909.56x = 2,007.28 × 2,007.28
  4. Step 4: Simplify right side
    909.56x = 4,029,178.02
  5. Step 5: Solve for x
    x = 4,029,178.02/909.56
  6. Step 6: Final answer
    x = 4,429.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.