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Finding the Third Proportional to 30,818.81 and 65,609.16

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Solution

The third proportional to 30,818.81 and 65,609.16 is: 139,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.81 : 65,609.16 = 65,609.16 : x
  2. Step 2: Convert to fraction form
    30,818.81/65,609.16 = 65,609.16/x
  3. Step 3: Cross multiply
    30,818.81x = 65,609.16 × 65,609.16
  4. Step 4: Simplify right side
    30,818.81x = 4,304,561,383.84
  5. Step 5: Solve for x
    x = 4,304,561,383.84/30,818.81
  6. Step 6: Final answer
    x = 139,673.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.