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Finding the Third Proportional to 31,964.63 and 67,299.19

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Solution

The third proportional to 31,964.63 and 67,299.19 is: 141,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.63 : 67,299.19 = 67,299.19 : x
  2. Step 2: Convert to fraction form
    31,964.63/67,299.19 = 67,299.19/x
  3. Step 3: Cross multiply
    31,964.63x = 67,299.19 × 67,299.19
  4. Step 4: Simplify right side
    31,964.63x = 4,529,180,638.16
  5. Step 5: Solve for x
    x = 4,529,180,638.16/31,964.63
  6. Step 6: Final answer
    x = 141,693.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.