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Finding the Third Proportional to 46,922 and 73,455

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Solution

The third proportional to 46,922 and 73,455 is: 114,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922 : 73,455 = 73,455 : x
  2. Step 2: Convert to fraction form
    46,922/73,455 = 73,455/x
  3. Step 3: Cross multiply
    46,922x = 73,455 × 73,455
  4. Step 4: Simplify right side
    46,922x = 5,395,637,025
  5. Step 5: Solve for x
    x = 5,395,637,025/46,922
  6. Step 6: Final answer
    x = 114,991.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.