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Finding the Third Proportional to 12,365.78 and 29,161.47

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Solution

The third proportional to 12,365.78 and 29,161.47 is: 68,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.78 : 29,161.47 = 29,161.47 : x
  2. Step 2: Convert to fraction form
    12,365.78/29,161.47 = 29,161.47/x
  3. Step 3: Cross multiply
    12,365.78x = 29,161.47 × 29,161.47
  4. Step 4: Simplify right side
    12,365.78x = 850,391,259.66
  5. Step 5: Solve for x
    x = 850,391,259.66/12,365.78
  6. Step 6: Final answer
    x = 68,769.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.