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Finding the Third Proportional to 47,490 and 73,827

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Solution

The third proportional to 47,490 and 73,827 is: 114,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490 : 73,827 = 73,827 : x
  2. Step 2: Convert to fraction form
    47,490/73,827 = 73,827/x
  3. Step 3: Cross multiply
    47,490x = 73,827 × 73,827
  4. Step 4: Simplify right side
    47,490x = 5,450,425,929
  5. Step 5: Solve for x
    x = 5,450,425,929/47,490
  6. Step 6: Final answer
    x = 114,769.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.