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Finding the Third Proportional to 20,715.75 and 31,066.03

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Solution

The third proportional to 20,715.75 and 31,066.03 is: 46,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 31,066.03 = 31,066.03 : x
  2. Step 2: Convert to fraction form
    20,715.75/31,066.03 = 31,066.03/x
  3. Step 3: Cross multiply
    20,715.75x = 31,066.03 × 31,066.03
  4. Step 4: Simplify right side
    20,715.75x = 965,098,297.63
  5. Step 5: Solve for x
    x = 965,098,297.63/20,715.75
  6. Step 6: Final answer
    x = 46,587.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.