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Finding the Third Proportional to 26,471.81 and 37,103.06

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Solution

The third proportional to 26,471.81 and 37,103.06 is: 52,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.81 : 37,103.06 = 37,103.06 : x
  2. Step 2: Convert to fraction form
    26,471.81/37,103.06 = 37,103.06/x
  3. Step 3: Cross multiply
    26,471.81x = 37,103.06 × 37,103.06
  4. Step 4: Simplify right side
    26,471.81x = 1,376,637,246.88
  5. Step 5: Solve for x
    x = 1,376,637,246.88/26,471.81
  6. Step 6: Final answer
    x = 52,003.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.