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Finding the Third Proportional to 28,734.75 and 69,346.13

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Solution

The third proportional to 28,734.75 and 69,346.13 is: 167,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734.75 : 69,346.13 = 69,346.13 : x
  2. Step 2: Convert to fraction form
    28,734.75/69,346.13 = 69,346.13/x
  3. Step 3: Cross multiply
    28,734.75x = 69,346.13 × 69,346.13
  4. Step 4: Simplify right side
    28,734.75x = 4,808,885,052.52
  5. Step 5: Solve for x
    x = 4,808,885,052.52/28,734.75
  6. Step 6: Final answer
    x = 167,354.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.