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Finding the Third Proportional to 29,804.50 and 62,057

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Solution

The third proportional to 29,804.50 and 62,057 is: 129,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.50 : 62,057 = 62,057 : x
  2. Step 2: Convert to fraction form
    29,804.50/62,057 = 62,057/x
  3. Step 3: Cross multiply
    29,804.50x = 62,057 × 62,057
  4. Step 4: Simplify right side
    29,804.50x = 3,851,071,249
  5. Step 5: Solve for x
    x = 3,851,071,249/29,804.50
  6. Step 6: Final answer
    x = 129,211.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.