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Finding the Third Proportional to 47,769.75 and 94,365

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Solution

The third proportional to 47,769.75 and 94,365 is: 186,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.75 : 94,365 = 94,365 : x
  2. Step 2: Convert to fraction form
    47,769.75/94,365 = 94,365/x
  3. Step 3: Cross multiply
    47,769.75x = 94,365 × 94,365
  4. Step 4: Simplify right side
    47,769.75x = 8,904,753,225
  5. Step 5: Solve for x
    x = 8,904,753,225/47,769.75
  6. Step 6: Final answer
    x = 186,409.88

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.