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Finding the Third Proportional to 31,508.81 and 65,938.69

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Solution

The third proportional to 31,508.81 and 65,938.69 is: 137,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.81 : 65,938.69 = 65,938.69 : x
  2. Step 2: Convert to fraction form
    31,508.81/65,938.69 = 65,938.69/x
  3. Step 3: Cross multiply
    31,508.81x = 65,938.69 × 65,938.69
  4. Step 4: Simplify right side
    31,508.81x = 4,347,910,509.22
  5. Step 5: Solve for x
    x = 4,347,910,509.22/31,508.81
  6. Step 6: Final answer
    x = 137,990.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.