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Finding the Third Proportional to 11,835 and 27,658.50

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Solution

The third proportional to 11,835 and 27,658.50 is: 64,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835 : 27,658.50 = 27,658.50 : x
  2. Step 2: Convert to fraction form
    11,835/27,658.50 = 27,658.50/x
  3. Step 3: Cross multiply
    11,835x = 27,658.50 × 27,658.50
  4. Step 4: Simplify right side
    11,835x = 764,992,622.25
  5. Step 5: Solve for x
    x = 764,992,622.25/11,835
  6. Step 6: Final answer
    x = 64,638.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.