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Finding the Third Proportional to 49,186.75 and 74,365

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Solution

The third proportional to 49,186.75 and 74,365 is: 112,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.75 : 74,365 = 74,365 : x
  2. Step 2: Convert to fraction form
    49,186.75/74,365 = 74,365/x
  3. Step 3: Cross multiply
    49,186.75x = 74,365 × 74,365
  4. Step 4: Simplify right side
    49,186.75x = 5,530,153,225
  5. Step 5: Solve for x
    x = 5,530,153,225/49,186.75
  6. Step 6: Final answer
    x = 112,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.