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Finding the Third Proportional to 26,534.25 and 53,973

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Solution

The third proportional to 26,534.25 and 53,973 is: 109,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.25 : 53,973 = 53,973 : x
  2. Step 2: Convert to fraction form
    26,534.25/53,973 = 53,973/x
  3. Step 3: Cross multiply
    26,534.25x = 53,973 × 53,973
  4. Step 4: Simplify right side
    26,534.25x = 2,913,084,729
  5. Step 5: Solve for x
    x = 2,913,084,729/26,534.25
  6. Step 6: Final answer
    x = 109,785.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.