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Finding the Third Proportional to 5,693.63 and 12,037.88

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Solution

The third proportional to 5,693.63 and 12,037.88 is: 25,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.63 : 12,037.88 = 12,037.88 : x
  2. Step 2: Convert to fraction form
    5,693.63/12,037.88 = 12,037.88/x
  3. Step 3: Cross multiply
    5,693.63x = 12,037.88 × 12,037.88
  4. Step 4: Simplify right side
    5,693.63x = 144,910,434.52
  5. Step 5: Solve for x
    x = 144,910,434.52/5,693.63
  6. Step 6: Final answer
    x = 25,451.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.