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Finding the Third Proportional to 29,074.50 and 33,477.75

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Solution

The third proportional to 29,074.50 and 33,477.75 is: 38,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,074.50 : 33,477.75 = 33,477.75 : x
  2. Step 2: Convert to fraction form
    29,074.50/33,477.75 = 33,477.75/x
  3. Step 3: Cross multiply
    29,074.50x = 33,477.75 × 33,477.75
  4. Step 4: Simplify right side
    29,074.50x = 1,120,759,745.06
  5. Step 5: Solve for x
    x = 1,120,759,745.06/29,074.50
  6. Step 6: Final answer
    x = 38,547.86

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.