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Finding the Third Proportional to 10,883.74 and 18,458.51

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Solution

The third proportional to 10,883.74 and 18,458.51 is: 31,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.74 : 18,458.51 = 18,458.51 : x
  2. Step 2: Convert to fraction form
    10,883.74/18,458.51 = 18,458.51/x
  3. Step 3: Cross multiply
    10,883.74x = 18,458.51 × 18,458.51
  4. Step 4: Simplify right side
    10,883.74x = 340,716,510.66
  5. Step 5: Solve for x
    x = 340,716,510.66/10,883.74
  6. Step 6: Final answer
    x = 31,305.09

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.