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Finding the Third Proportional to 14,638.22 and 31,496.34

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Solution

The third proportional to 14,638.22 and 31,496.34 is: 67,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.22 : 31,496.34 = 31,496.34 : x
  2. Step 2: Convert to fraction form
    14,638.22/31,496.34 = 31,496.34/x
  3. Step 3: Cross multiply
    14,638.22x = 31,496.34 × 31,496.34
  4. Step 4: Simplify right side
    14,638.22x = 992,019,669.62
  5. Step 5: Solve for x
    x = 992,019,669.62/14,638.22
  6. Step 6: Final answer
    x = 67,769.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.