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Finding the Third Proportional to 2,137.64 and 4,491.07

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Solution

The third proportional to 2,137.64 and 4,491.07 is: 9,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.64 : 4,491.07 = 4,491.07 : x
  2. Step 2: Convert to fraction form
    2,137.64/4,491.07 = 4,491.07/x
  3. Step 3: Cross multiply
    2,137.64x = 4,491.07 × 4,491.07
  4. Step 4: Simplify right side
    2,137.64x = 20,169,712.55
  5. Step 5: Solve for x
    x = 20,169,712.55/2,137.64
  6. Step 6: Final answer
    x = 9,435.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.