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Finding the Third Proportional to 12,237.75 and 18,842.63

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Solution

The third proportional to 12,237.75 and 18,842.63 is: 29,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.75 : 18,842.63 = 18,842.63 : x
  2. Step 2: Convert to fraction form
    12,237.75/18,842.63 = 18,842.63/x
  3. Step 3: Cross multiply
    12,237.75x = 18,842.63 × 18,842.63
  4. Step 4: Simplify right side
    12,237.75x = 355,044,516.89
  5. Step 5: Solve for x
    x = 355,044,516.89/12,237.75
  6. Step 6: Final answer
    x = 29,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.