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Finding the Third Proportional to 19,903.22 and 31,066.03

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Solution

The third proportional to 19,903.22 and 31,066.03 is: 48,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903.22 : 31,066.03 = 31,066.03 : x
  2. Step 2: Convert to fraction form
    19,903.22/31,066.03 = 31,066.03/x
  3. Step 3: Cross multiply
    19,903.22x = 31,066.03 × 31,066.03
  4. Step 4: Simplify right side
    19,903.22x = 965,098,297.63
  5. Step 5: Solve for x
    x = 965,098,297.63/19,903.22
  6. Step 6: Final answer
    x = 48,489.56

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Why These Related Problems?

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