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Finding the Third Proportional to 30,289.50 and 70,751.25

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Solution

The third proportional to 30,289.50 and 70,751.25 is: 165,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.50 : 70,751.25 = 70,751.25 : x
  2. Step 2: Convert to fraction form
    30,289.50/70,751.25 = 70,751.25/x
  3. Step 3: Cross multiply
    30,289.50x = 70,751.25 × 70,751.25
  4. Step 4: Simplify right side
    30,289.50x = 5,005,739,376.56
  5. Step 5: Solve for x
    x = 5,005,739,376.56/30,289.50
  6. Step 6: Final answer
    x = 165,263.19

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.