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Finding the Third Proportional to 26,066.25 and 53,053.50

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Solution

The third proportional to 26,066.25 and 53,053.50 is: 107,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066.25 : 53,053.50 = 53,053.50 : x
  2. Step 2: Convert to fraction form
    26,066.25/53,053.50 = 53,053.50/x
  3. Step 3: Cross multiply
    26,066.25x = 53,053.50 × 53,053.50
  4. Step 4: Simplify right side
    26,066.25x = 2,814,673,862.25
  5. Step 5: Solve for x
    x = 2,814,673,862.25/26,066.25
  6. Step 6: Final answer
    x = 107,981.54

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.