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Finding the Third Proportional to 46,744 and 62,984

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Solution

The third proportional to 46,744 and 62,984 is: 84,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744 : 62,984 = 62,984 : x
  2. Step 2: Convert to fraction form
    46,744/62,984 = 62,984/x
  3. Step 3: Cross multiply
    46,744x = 62,984 × 62,984
  4. Step 4: Simplify right side
    46,744x = 3,966,984,256
  5. Step 5: Solve for x
    x = 3,966,984,256/46,744
  6. Step 6: Final answer
    x = 84,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.