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Finding the Third Proportional to 13,429.13 and 31,217.06

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Solution

The third proportional to 13,429.13 and 31,217.06 is: 72,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.13 : 31,217.06 = 31,217.06 : x
  2. Step 2: Convert to fraction form
    13,429.13/31,217.06 = 31,217.06/x
  3. Step 3: Cross multiply
    13,429.13x = 31,217.06 × 31,217.06
  4. Step 4: Simplify right side
    13,429.13x = 974,504,991.13
  5. Step 5: Solve for x
    x = 974,504,991.13/13,429.13
  6. Step 6: Final answer
    x = 72,566.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.