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Finding the Third Proportional to 2,132 and 4,366.50

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Solution

The third proportional to 2,132 and 4,366.50 is: 8,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 4,366.50 = 4,366.50 : x
  2. Step 2: Convert to fraction form
    2,132/4,366.50 = 4,366.50/x
  3. Step 3: Cross multiply
    2,132x = 4,366.50 × 4,366.50
  4. Step 4: Simplify right side
    2,132x = 19,066,322.25
  5. Step 5: Solve for x
    x = 19,066,322.25/2,132
  6. Step 6: Final answer
    x = 8,942.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.