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Finding the Third Proportional to 46,827 and 71,807

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Solution

The third proportional to 46,827 and 71,807 is: 110,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827 : 71,807 = 71,807 : x
  2. Step 2: Convert to fraction form
    46,827/71,807 = 71,807/x
  3. Step 3: Cross multiply
    46,827x = 71,807 × 71,807
  4. Step 4: Simplify right side
    46,827x = 5,156,245,249
  5. Step 5: Solve for x
    x = 5,156,245,249/46,827
  6. Step 6: Final answer
    x = 110,112.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.