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Finding the Third Proportional to 2,133 and 4,937.63

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Solution

The third proportional to 2,133 and 4,937.63 is: 11,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133 : 4,937.63 = 4,937.63 : x
  2. Step 2: Convert to fraction form
    2,133/4,937.63 = 4,937.63/x
  3. Step 3: Cross multiply
    2,133x = 4,937.63 × 4,937.63
  4. Step 4: Simplify right side
    2,133x = 24,380,140.64
  5. Step 5: Solve for x
    x = 24,380,140.64/2,133
  6. Step 6: Final answer
    x = 11,429.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.