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Finding the Third Proportional to 29,605.50 and 62,005.50

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Solution

The third proportional to 29,605.50 and 62,005.50 is: 129,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.50 : 62,005.50 = 62,005.50 : x
  2. Step 2: Convert to fraction form
    29,605.50/62,005.50 = 62,005.50/x
  3. Step 3: Cross multiply
    29,605.50x = 62,005.50 × 62,005.50
  4. Step 4: Simplify right side
    29,605.50x = 3,844,682,030.25
  5. Step 5: Solve for x
    x = 3,844,682,030.25/29,605.50
  6. Step 6: Final answer
    x = 129,863.78

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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.