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Finding the Third Proportional to 46,790 and 65,483

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Solution

The third proportional to 46,790 and 65,483 is: 91,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,790 : 65,483 = 65,483 : x
  2. Step 2: Convert to fraction form
    46,790/65,483 = 65,483/x
  3. Step 3: Cross multiply
    46,790x = 65,483 × 65,483
  4. Step 4: Simplify right side
    46,790x = 4,288,023,289
  5. Step 5: Solve for x
    x = 4,288,023,289/46,790
  6. Step 6: Final answer
    x = 91,644.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.