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Finding the Third Proportional to 46,066 and 64,844

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Solution

The third proportional to 46,066 and 64,844 is: 91,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 64,844 = 64,844 : x
  2. Step 2: Convert to fraction form
    46,066/64,844 = 64,844/x
  3. Step 3: Cross multiply
    46,066x = 64,844 × 64,844
  4. Step 4: Simplify right side
    46,066x = 4,204,744,336
  5. Step 5: Solve for x
    x = 4,204,744,336/46,066
  6. Step 6: Final answer
    x = 91,276.52

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.