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Finding the Third Proportional to 29,669.50 and 39,633

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Solution

The third proportional to 29,669.50 and 39,633 is: 52,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.50 : 39,633 = 39,633 : x
  2. Step 2: Convert to fraction form
    29,669.50/39,633 = 39,633/x
  3. Step 3: Cross multiply
    29,669.50x = 39,633 × 39,633
  4. Step 4: Simplify right side
    29,669.50x = 1,570,774,689
  5. Step 5: Solve for x
    x = 1,570,774,689/29,669.50
  6. Step 6: Final answer
    x = 52,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.