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Finding the Third Proportional to 19,919.25 and 31,090.50

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Solution

The third proportional to 19,919.25 and 31,090.50 is: 48,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.25 : 31,090.50 = 31,090.50 : x
  2. Step 2: Convert to fraction form
    19,919.25/31,090.50 = 31,090.50/x
  3. Step 3: Cross multiply
    19,919.25x = 31,090.50 × 31,090.50
  4. Step 4: Simplify right side
    19,919.25x = 966,619,190.25
  5. Step 5: Solve for x
    x = 966,619,190.25/19,919.25
  6. Step 6: Final answer
    x = 48,526.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.