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Finding the Third Proportional to 19,748.81 and 37,675.13

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Solution

The third proportional to 19,748.81 and 37,675.13 is: 71,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748.81 : 37,675.13 = 37,675.13 : x
  2. Step 2: Convert to fraction form
    19,748.81/37,675.13 = 37,675.13/x
  3. Step 3: Cross multiply
    19,748.81x = 37,675.13 × 37,675.13
  4. Step 4: Simplify right side
    19,748.81x = 1,419,415,043.77
  5. Step 5: Solve for x
    x = 1,419,415,043.77/19,748.81
  6. Step 6: Final answer
    x = 71,873.44

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.