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Finding the Third Proportional to 31,041.81 and 65,781.39

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Solution

The third proportional to 31,041.81 and 65,781.39 is: 139,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.81 : 65,781.39 = 65,781.39 : x
  2. Step 2: Convert to fraction form
    31,041.81/65,781.39 = 65,781.39/x
  3. Step 3: Cross multiply
    31,041.81x = 65,781.39 × 65,781.39
  4. Step 4: Simplify right side
    31,041.81x = 4,327,191,705.88
  5. Step 5: Solve for x
    x = 4,327,191,705.88/31,041.81
  6. Step 6: Final answer
    x = 139,398.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.