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Finding the Third Proportional to 46,766 and 63,892

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Solution

The third proportional to 46,766 and 63,892 is: 87,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,766 : 63,892 = 63,892 : x
  2. Step 2: Convert to fraction form
    46,766/63,892 = 63,892/x
  3. Step 3: Cross multiply
    46,766x = 63,892 × 63,892
  4. Step 4: Simplify right side
    46,766x = 4,082,187,664
  5. Step 5: Solve for x
    x = 4,082,187,664/46,766
  6. Step 6: Final answer
    x = 87,289.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.