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Finding the Third Proportional to 31,298.81 and 67,609.13

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Solution

The third proportional to 31,298.81 and 67,609.13 is: 146,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.81 : 67,609.13 = 67,609.13 : x
  2. Step 2: Convert to fraction form
    31,298.81/67,609.13 = 67,609.13/x
  3. Step 3: Cross multiply
    31,298.81x = 67,609.13 × 67,609.13
  4. Step 4: Simplify right side
    31,298.81x = 4,570,993,783.27
  5. Step 5: Solve for x
    x = 4,570,993,783.27/31,298.81
  6. Step 6: Final answer
    x = 146,043.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.