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Finding the Third Proportional to 14,804 and 31,984

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Solution

The third proportional to 14,804 and 31,984 is: 69,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804 : 31,984 = 31,984 : x
  2. Step 2: Convert to fraction form
    14,804/31,984 = 31,984/x
  3. Step 3: Cross multiply
    14,804x = 31,984 × 31,984
  4. Step 4: Simplify right side
    14,804x = 1,022,976,256
  5. Step 5: Solve for x
    x = 1,022,976,256/14,804
  6. Step 6: Final answer
    x = 69,101.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.