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Finding the Third Proportional to 30,288.50 and 70,748.75

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Solution

The third proportional to 30,288.50 and 70,748.75 is: 165,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.50 : 70,748.75 = 70,748.75 : x
  2. Step 2: Convert to fraction form
    30,288.50/70,748.75 = 70,748.75/x
  3. Step 3: Cross multiply
    30,288.50x = 70,748.75 × 70,748.75
  4. Step 4: Simplify right side
    30,288.50x = 5,005,385,626.56
  5. Step 5: Solve for x
    x = 5,005,385,626.56/30,288.50
  6. Step 6: Final answer
    x = 165,256.97

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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.